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Topic: NCMM
Publications for topic "NCMM"
2008
Anelastic approximation as a singular limit of the compressible Navier-Stokes system (2008), in: Communications in Partial Differential Equations, 33:1-3(157--176) | , , and ,
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2007
Existence of weak solutions to the Navier-Stokes-Fourier system on Lipschitz domains (2007), in: Discrete and Continuous Dynamical Systems - Series A:Dynamical Systems and Differential Equations. Proceedings of the 6th AIMS International Conference, suppl.(834--843) | ,
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2008
On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries (2008), in: J. Differential Equations, 244:11(2890--2908) | , , and ,
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The Caffarelli-Kohn-Nirenberg Theorem - A Direct Proof by Campanato's Method, in: Parabolic and {N}avier-{S}tokes equations. {P}art 2, pages 533--552, Polish Acad. Sci. Inst. Math., Warsaw, 2008 | ,
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2006
On the dynamics of equations with infinite delay (2006), in: Cent. Eur. J. Math., 4:4(635--647 (electronic)) | ,
2009
On non-Newtonian fluids with energy transfer (2009), in: J. Math. Fluid Mech., 11:1(110--125) | ,
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2008
A thermodynamic framework for a mixture of two liquids (2008), in: Nonlinear Anal. Real World Appl., 9:4(1649--1660) | and ,
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2009
Numerical approaches to rate-independent processes and applications in inelasticity (2009), in: ESAIM: Mathematical Modelling and Numerical Analysis, 43:3(399--428) | and ,
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2008
{$\Gamma$}-limits and relaxations for rate-independent evolutionary problems (2008), in: Calc. Var. Partial Differential Equations, 31:3(387--416) | , and ,
2007
Computational studies of anisotropic diffuse interface model of microstructure formation in solidification (2007), in: Acta Math. Univ. Comenian. (N.S.), 76:1(39--50) | ,
2008
Multicomponent reactive flows: global-in-time existence for large data (2008), in: Commun. Pure Appl. Anal., 7:5(1017--1047) | , and ,
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2007
Exponential attractors for a class of reaction-diffusion problems with time delays (2007), in: J. Evol. Equ., 7:4(649--667) | and ,
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Interactions of glide dislocations in a channel of a persistent slip band (2007), in: PHILOSOPHICAL MAGAZINE, 87:29(4593-4613) | and ,
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2008
On the asymptotic limit of flows past a ribbed boundary (2008), in: J. Math. Fluid Mech., 10:4(554--568) | , and ,
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2007
An existence result for the shape optimization problem governed by Navier-Stokes equations with algebraic turbulence model, 2007 | , and ,
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2008
Incompressible fluids with shear rate and pressure dependent viscosity: regularity of steady planar flows (2008), in: Discrete and Continuous Dynamical Systems - Series S, 1:1(41--50) | and ,
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2007
Modelling of thermodynamics of martensitic transformation in shape-memory alloys (2007), in: Discrete Contin. Dyn. Syst.:Dynamical Systems and Differential Equations. Proceedings of the 6th AIMS International Conference, suppl.(892--902) | ,
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Incompressible ionized non-Newtonian fluid mixtures (2007), in: SIAM J. Math. Anal., 39:3(863--890 (electronic)) | ,
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2009
A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients (2009), in: Nonlinear Analysis: Real World Applications, 10:2(992--1015) | , and ,
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2008
Influence of wall roughness on the slip behaviour of viscous fluids (2008), in: Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 138:5(957--973) | , and ,
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2007
Optimal control of Navier-Stokes equations by Oseen approximation (2007), in: Comput. Math. Appl., 53:3-4(569--581) | and ,
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A mesoscopical model of shape memory alloys (2007), in: Proc. Estonian Acad. Sci. Phys. Math., 56:2(146--154) | , and ,
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2008
Layered incompressible fluid flow equations in the limit of low Mach number and strong stratification (2008), in: Physica D. Nonlinear Phenomena, 237:10-12(1466--1487) | , and ,
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On weak solutions of steady Navier-Stokes equations for monatomic gas (2008), in: Comment. Math. Univ. Carolin., 49:4(611--632) | and ,
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2009
Mathematical analysis of unsteady flows of fluids with pressure, shear-rate, and temperature dependent material moduli that slip at solid boundaries (2009), in: SIAM J. Math. Anal., 41:2(665--707) | , and ,
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2008
On a diffuse interface model for a two-phase flow of compressible viscous fluids (2008), in: Indiana Univ. Math. J., 57:2(659--698) | and ,
2011
Strong solutions to the Stokes-Equations of a flow around a rotating body in weighted $L^q$ spaces (2011), in: Mathematische Nachrichten, 284:13(1701 – 1714) | and ,
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2008
Boundary value problems for the Stokes equations with jumps in open sets (2008), in: Appl. Anal., 87:7(829--849) | and ,
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3D steady compressible Navier-Stokes equations (2008), in: Discrete and Continuous Dynamical Systems - Series S, 1:1(151--163) | and ,
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2009
On the steady compressible Navier-Stokes-Fourier system (2009), in: Communications in Mathematical Physics, 288:1(349--377) | and ,
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2007
A regularity criterion for the angular velocity component in axisymmetric Navier-Stokes equations (2007), in: Electron. J. Differential Equations(No. 08, 10 pp. (electronic)) | and ,
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2009
The dimension of the attractor for the 3D flow of a non-Newtonian fluid (2009), in: Communications on Pure and Applied Analysis, 8:5(1503--1520) | , , and ,
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2007
On the Convergence Order of COMSOL Solutions, 2007 | and ,
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2009
On the influence of boundary condition on stability of Hagen-Poiseuille flow (2009), in: Computers & Mathematics with Applications, 57:5(763--771) | ,
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Existence theory for steady flows of fluids with pressure and shear rate dependent viscosity, for low values of the power-law index (2009), in: Journal for Analysis and its Applications, 28:3(349--371) | and ,
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2010
Convergence of variational eigenvalues and eigenfunctions to the Dirichlet problem for the p-Laplacian in domains with fine-grained boundary (2010), in: Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 140:3(573--596) | , and ,
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2009
On steady flows of incompressible fluids with implicit power-law-like rheology (2009), in: Advances in Calculus of Variations, 2:2(109--136) | , , and ,
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Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling {$\nu(p,\cdot)\to+\infty$} as {$p\to+\infty$} (2009), in: Czechoslovak Math. J., 59(134):2(503--528) | , and ,
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A note on the dimension of the global attractor for an abstract semilinear hyperbolic problem (2009), in: Applied Mathematics Letters, 22:7(1025--1028) | and ,
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2008
On the motion of several rigid bodies in an incompressible non-Newtonian fluid (2008), in: Nonlinearity, 21:6(1349--1366) | , and ,
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Flows of incompressible fluids subject to Navier's slip on the boundary (2008), in: Computers & Mathematics with Applications, 56:8(2128--2143) | , , and ,
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2007
Application of a multiphase flow code for investigation of influence of capillary pressure parameters on two-phase flow (2007), in: Kybernetika, 43:6(831--840) | and ,
Exponential attractors for abstract parabolic systems with bounded delay (2007), in: Bull. Austral. Math. Soc., 76:2(285--295) | ,
Dynamics of trajectories and the finite-dimensional reduction of dissipative evolution equations (2007), in: Int. J. Pure Appl. Math., 40:1(65--75) | ,
Fourier series and the Colombeau algebra on the unit circle (2007), in: Acta Univ. Carolin. Math. Phys., 48:2(81--93) | ,
2008
Smooth solutions of Volterra equations via semigroups (2008), in: Bull. Austral. Math. Soc., 78:2(249--260) | ,
2007
On the tangential velocity arising in a crystalline approximation of evolving plane curves (2007), in: Kybernetika, 43:6(913--918) | ,
Asymptotic behavior of solutions to an area-preserving motion by crystalline curvature (2007), in: Kybernetika, 43:6(903--912) | ,
Quantifier elimination supported proofs in the numerical treatment of fluid flows (2007), in: Appl. Algebra Engrg. Comm. Comput., 18:6(575--582) | and ,
Dislocation dyanmics---analytical description of the interaction force between dipolar loops (2007), in: Kybernetika, 43:6(841--854) | and ,
Model of pulverized coal combustion in a furnace (2007), in: Kybernetika, 43:6(879--891) | and ,
A monolithic FEM/multigrid solver for an ALE formulation of fluid-structure interaction with applications in biomechanics, in: Fluid-structure interaction, pages 146--170, Springer, 2007 | and ,
Fluid-structure interaction with applications in biomechanics (2007), in: Nonlinear Analysis: Real World Applications, 8:5(1431--1458) | and ,
2008
Numerical Techniques for Multiphase Flow with Liquid-Solid Interaction, in: Hemodynamical flows, pages 379--492, Birkhäuser Verlag, 2008 | and ,
2010
Complete damage in elastic and viscoelastic media and its energetics (2010), in: Computer Methods in Applied Mechanics and Engineering, 199:21-22(1242--1253) | , and ,
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2009
A complete-damage problem at small strains (2009), in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 60:2(205--236) | , and ,
2008
Enforcing the discrete maximum principle for linear finite element solutions of second-order elliptic problems (2008), in: Communications in Computational Physics, 3:4(852--877) | and ,
2007
Mathematical results for some models of viscoelastic fluids, in: WDS 2007 - Proceedings of Contributed Papers, pages 198-203, 2007 | ,
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2008
On the spectrum of an Oseen-type operator arising from flow past a rotating body (2008), in: Integral Equations Operator Theory, 62:2(169--189) | and ,
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2009
Small Peclet number approximation as a singular limit of the full Navier-Stokes-Fourier system with radiation, pages 123-152, Birkhauser, Basel, volume In New directions in Mathematical Fluid Mechanics, A.V. Fursikov, G.P. Galdi, 2009 | and ,
The incompressible limit of the full Navier-Stokes-Fourier system on domains with rough boundaries (2009), in: Nonlinear Analysis: Real World Applications, 10:5(3203--3229) | and ,
2008
Identification of Preisach-type hysteresis operators (2008), in: Numer. Funct. Anal. Optim., 29:1-2(149--160) | , , and ,
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2009
Shape Optimization for Navier-Stokes Equations with Algebraic Turbulence Model: Existence Analysis (2009), in: Applied Mathematics and Optimization, 60:2(185-212) | , , and ,
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Mathematical Results Concerning the Unsteady Flows of Chemically Reacting Incompressible Fluids, chapter 2, pages 26--53, Cambridge University Press, London Mathematical Society Lecture Note Series, volume 364, 2009 | , and ,
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Rate-independent processes in viscous solids at small strains (2009), in: Mathematical Methods in the Applied Sciences, 32:7(825--862) | ,
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Existence of solutions to a phase transition model with microscopic movements (2009), in: Mathematical Methods in the Applied Sciences, 32:11(1345--1369) | , and ,
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2011
Monotonically controlled mappings (2011), in: Canadian Journal of Mathematics, 63(460--480) | ,
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2009
On the existence of finite energy weak solutions to the Navier-Stokes equations in irregular domains (2009), in: Mathematical Methods in the Applied Sciences, 32:11(1428--1451) | ,
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New perspectives in fluid dynamics: Mathematical analysis of a model proposed by Howard Brenner, pages 153-180, Birkauser, Basel, 2009 | and ,
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2011
On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities (2011), in: Applications of Mathematics, 56:3(265--285) | and ,
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2010
New approach to the incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity (2010), in: Journal of Differential Equations, 249:12(3052--3080) | , and ,
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2008
Analysis of a BDF-DGFE scheme for nonlinear convection-diffusion problems (2008), in: Numerische Mathematik, 110:4(405--447) | and ,
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2010
Optimal {$L^\infty (L^2)$-error} estimates for the DG method applied to nonlinear convection-diffusion problems with nonlinear diffusion (2010), in: Numerical Functional Analysis and Optimization, 31:1-3(285-312) | ,
2009
Numerical simulation of interacting dislocations glide in a channel of a persistent slip band (2009), in: Modelling and Simulation in Materials Science and Engineering, 17:4 | , , and ,
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2010
Bowing out of Dislocations from Walls of Persistent Slip Band (2010), in: Archive International Journal of Materials Research, 5(680-683) | and ,
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2008
An adaptive finite volume method for non-stationary problems, in: Finite volumes for complex applications {V}, pages 407--414, ISTE, London, 2008 | and ,
Analysis of the DGFEM for nonlinear convection-diffusion problems (2008), in: Electron. Trans. Numer. Anal., 32(33--48) | and ,
2010
Optimal control of planar flow of incompressible non-Newtonian fluids (2010), in: Journal for Analysis and its Applications, 29:3(351--376) | and ,
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2008
Thermoviscoplasticity at small strains (2008), in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 88:9(735--754) | and ,
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2009
Quasistatic delamination problem (2009), in: Continuum Mechanics and Thermodynamics, 21:3(223-235) | , and ,
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2010
Thermodynamics of shape-memory alloys under electric current (2010), in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 61:1(1--20) | and ,
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2009
The Gilbert equation with dry-friction-type damping (2009), in: Journal of Mathematical Analysis and Applications, 355:2(453--468) | , and ,
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2010
Simulation of Dynamical Interaction between Dislocations and Dipolar Loops (2010), in: Journal of Applied Physics, 061802:107 | , and ,
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2009
Numerical Investigation of Nonaqueous Phase Liquid Behavior at Heterogeneous Sand Layers Using VODA Multiphase Flow Code (2009), in: Journal of Porous Media, 12:7(685-694) | , and ,
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Analytical and Numerical Solution for One-Dimensional Two-Phase Flow in Homogeneous Porous Medium (2009), in: Journal of Porous Media, 12:12(1139-1152) | , , and ,
Second order numerical scheme for motion of polygonal curves with constant area speed (2009), in: Interfaces and Free Boundaries, 11:4(515-536) | , and ,
Direct approach to mean-curvature flow with topological changes (2009), in: Kybernetika, 45:4 | and ,
Implementation of the MR Tractography Visualization Kit Based on the Anisotropic Allen-Cahn Equation (2009), in: Kybernetika, 45:4 | ,
2008
Application of a curvature adjusted method in image segmentation (2008), in: Bull. Inst. Math. Acad. Sin. (N.S.), 3:4(509--523) | , , , , and ,
2010
Morphisms fixing words associated with exchange of three intervals (2010), in: RAIRO-Theor. Inf. Appl., 44(3-17) | , and ,
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2012
Theoretical analysis of discrete contact problems with Coulomb friction (2012), in: Applications of Mathematics:3 | ,
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2010
Weak solutions to equations of steady compressible heat conducting fluids (2010), in: Mathematical Models and Methods in Applied Sciences, 20:5(785-813) | and ,
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Dimension-free imbeddings of Sobolev spaces, Universität Jena, Germany, 2010 | and ,
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2009
Optimal Gaussian Sobolev embeddings (2009), in: J. Funct. Anal., 256:11(3588-3642) | and ,
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2010
An optimal endpoint trace embedding (2010), in: Annales de l'institut Fourier, 60:3(939-951) | and ,
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2011
ON GEOMETRIC PROPERTIES OF THE SPACES $L^{p(x)}$ (2011), in: Revista Matemática Complutense, 24:1(115--130) | , and ,
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2009
Calderón-Type Theorems for Operators of Nonstandard Endpoint Behaviour (2009), in: Indiana Univ. Math. J., 58:4(1831-1852) | and ,
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2008
Boundary Trace Inequalities and Rearrangements (2008), in: J. Anal. Math., 105(241-265) | , and ,
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2010
Optimal estimates for the Hardy averaging operator (2010), in: Math. Nachr., 283:2(262–271) | and ,
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2009
Antidissipative Numerical Schemes for the Anisotropic Diffusion Operator in Problems for the Allen-Cahn Equation, in: Algoritmy 2009, Proceedings of contributed papers and posters, pages 134--142, 2009 | ,
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Anisotropic Diffusion in Mathematical Visualization, in: HPC-Europa: Science and Supercomputing in Europe, pages 826--831, CINECA Consortio Interuniversitario, 2009 | ,
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Parallel Algorithms for Diffusion-based Tensor Field Visualization in Mathematics and Medicine, 2009 | ,
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2010
Discontinuous Galerkin Solution of Compressible Flow in Time Dependent Domains (2010), in: Mathematics and Computers in Simulation, 80:8(1612-1623) | , and ,
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Low Mach number limit for the Navier-Stokes system on unbounded domains under strong stratification (2010), in: Communications in Partial Differential Equations:35(68-88) | , and ,
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2011
Singular Limits of the Equations of Magnetohydrodynamics (2011), in: Journal of Mathematical Fluid Mechanics, 13:2(173-189) | ,
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2010
On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions (2010), in: Discrete and Continuous Dynamical Systems - Series B, 13:4(783 - 798) | , and ,
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2011
Shape optimization for Navier-Stokes equations with algebraic turbulence model: Numerical analysis and computation (2011), in: Applied Mathematics and Optimization, 63:2(277--308) | and ,
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2010
Revisiting Stokes first and second problems for fluids with pressure dependent viscosities (2010), in: International Journal of Engineering Science, 48:12(2054-2065) | ,
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2011
On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas (2011), in: J. Math. Fluid Mech., 13:2(191-211) | , and ,
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2010
On global motions of a compressible barotropic and selfgravitating gas with density-dependent viscosities (2010), in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 61:3(479--491) | , and ,
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2011
On certain convex compactifications for relaxation in evolution problems (2011), in: Discrete and Continuous Dynamical Systems - Series S, 4:2(467-482) | ,
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2009
Incompressible limits for the Navier-Stokes-Fourier Systems on Unbounded Domains under Strong Stratification, 2009 | ,
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2010
Steady flow of non-Newtonian fluids - monotonicity methods in generalized Orlicz spaces (2010), in: Nonlinear Analysis: Theory, Methods & Applications, 72:11(4136--4147) | ,
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2008
On the trace space of a Sobolev space with a radial weight (2008), in: Journal Function Spaces and Applications, 6:3(259-276) | , and ,
2009
On the local strong solutions for a system describing the flow of a viscoelastic fluid, pages 196-205, 2009 | and ,
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On a regularity criterion for the Navier-Stokes equations involving gradient of one velocity component (2009), in: Journal of Mathematical Physics, 50:12(123514 - 123525) | and ,
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2011
On anisotropic regularity criteria for the solutions to 3D Navier--Stokes equations (2011), in: J. Math. Fluid Mech., 13:3(341--353) | and ,
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2010
On the local strong solutions for the FENE dumbbell model (2010), in: Discrete and Continuous Dynamical Systems - Series S, 3(311-324) | and ,
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2008
Navier´s slip and incompressible limits in domains with variable bottoms (2008), in: Discrete and Continuous Dynamical Systems - Series S, 1:3(427-460) | , and ,
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Brinkman Equations as a Model for Flows in Porous Media, in: WDS08 Proceedings of Contributed Papers: Part III - Physics, pages 38-43, Matfyzpress, 2008 | ,
2006
Numerical simulation of compressible flows with the aid of the BDF - DGFE scheme, in: Recent Progress in Computational Science and Engineering, ICCSME 2006, pages 137--140, Koninklijke Brill NV, 2006 | ,
A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers, in: Hyp06, 2006 | and ,
2007
The Discontinuous Galerkin Method for Viscous Compressible Flows, in: Proceedings of Topical Problems in Fluid Mechanics 2007, 2007 | ,
2012
2006
Mathematical properties of the equations governing the flow of fluids with pressure and shear rate dependent viscosities, chapter 7, pages 407--444, Elsevier B. V., Handbook of Mathematical Fluid Dynamics, volume 4, 2006 | and ,
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2011
Explicit formulas for optimal rearrangement-invariant norms in Sobolev imbedding inequalities (2011), in: Studia Math., 26:2(97--119) | and ,
2007
Numerical Solution of Compressible Flow in a Channel with Moving Walls, in: Proc. of Colloquim Fluid Dynamics 2007, pages 45--46, Institue of Thermomechanics, Prague, 2007 | , and ,
DG Method for the Solution of Compressible Flow in a Channel with Moving Walls, in: Proc. of Interaction and Feedbacks 2007, pages 19--24, Institue of Thermomechanics, Prague, 2007 | and ,
A Vertex Quality Parameter Moving Mesh Method, in: Numerical Analysis and Applied Mathematics, ICNAAM 2007, Corfu, Greece, AIP Conference Proceedings, pages 204--207, American Institute of Physics, 2007 | and ,
A mesh adaptation for non-stationary problems (2007), in: PAMM, 7:1(2100007--2100008) | and ,
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The FETI-DP domain decomposition method for quasistatic contact problems with Coulomb friction, in: Variational formulations in Mechanics: Theory and Applications, CIMNE, Barcelona 2007, pages 81--98, 2007 | , , and ,
2008
Implicit-Explicit Runge-Kutta discontinuous Galerkin finite element method for convection-diffusion problems, in: Numerical Mathematics and Advanced Applications, proceedings of ENUMATH conference 2007, Graz Austria, pages 355-362, Springer, 2008 | and ,
2007
Time Discretizations for Scalar Nonlinear Convection-Difusion Prolems, in: Proceeding of WDS 2007, Charles University Prague, Faculty of Mathematics and Physics, 2007 | ,
Discontinuous Galerkin Method for the Numerical Solution of Inviscid and Viscous Compressible Flow, in: Proc. of the conference ENUMATH 2007, Graz, 2007 | ,
The Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations, in: Proc. of the conference Computational Methods and Applications 2007, 2007 | ,
2008
An optimal {$L^\infty(L^2)$}-error estimate for the discontinuous {G}alerkin approximation of a nonlinear non-stationary convection-diffusion problem (2008), in: IMA J. Numer. Anal., 28:3(496--521) | , , and ,
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A New Technique for the Numerical Solution of the Compressible Euler Equations with Arbitrary Mach Numbers, in: Proc. of the Conference Hyperbolic Problems:Theory, Numerics and Applications, pages 523--531, Springer-Verlag Berlin-Heidelberg, 2008 | and ,
2007
On a robust discontinuous Galerkin technique for the solution of compressible flow (2007), in: J. Comput. Phys., 224:1(208--221) | and ,
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2010
Rate Independent processes in viscous solids, in: Rate-Independent Evolution and Material Modeling (Special Section of EQUADIFF 2007), Pavia, pages 45-50, Pubblicazione IMATI-CNR, 2010 | ,
2008
Discontinuous Galerkin Simulation of Compressible Flow in Time-dependent Domains, in: Proceedings of Flow Induced Vibration, pages 73--78, Institute of Thermomechanics, Praha, 2008 | , and ,
DG for compressible inviscid and viscous flows with a large range of Mach numbers, in: Proc. of Numerical Analysis and Applied Mathematics (ICNAAM2008), pages 847--850, 2008 | ,
A Comparison of Adaptation Techniques for the Solution of, in: Numerical Analysis and Applied Mathematics, ICNAAM 2008, AIP Conference Proceedings, pages 835--838, American Institute of Physics, 2008 | and ,
2010
A thermodynamically-consistent theory of the ferro/paramagnetic transition (2010), in: Archive for Rational Mechanics and Analysis, 198:3(1057-1094) | , and ,
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2008
2009
Matematické a počítačové modelování aktivních materiálů (2009), in: Vesmír, 88(21--23) | and ,
2008
Rezoning and Remapping for ALE Simulations in Fluid Dynamics and Plasma Physics, KFE FJFI, CVUT, 2008 | ,
Qualitative study of the Gray-Scott model, in: Proceedings of the workshop Doktorandské dny 2008 KM FJFI CVUT, pages 143150, CVUT, Praha, 2008 | ,
2009
An iterative substructuring solver for the Stokes equations, in: roceedings of the First International Conference on Parallel, Distributed and Grid Computing for Engineering, Civil-Comp Press, 2009 | ,
2008
Numerical solution of the 2D Gray-Scott model, in: Proceedings of the workshop Seminar on Numerical Analysis 2008, pages 98101, Technical University of Liberec, 2008 | ,
2009
Comparison study for Level set and Direct Lagrangian methods for computing Willmore flow of closed planar curves (2009), in: Computing and Visualization in Science, 12:6(307--317) | , , and ,
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2008
Shape derivative of minimum potential energy: abstract theory and applications, in: Topics in mathematical modeling, pages 1-92, MATFYZPRESS, Charles University in Prague, 2008 | ,
An area-preserving crystalline curvature flow equation, in: Topics in mathematical modeling, pages 169-213, MATFYZPRESS, Charles University in Prague, 2008 | ,
Semianalytical Solution for Two-Phase Flow in Porous Media with a Discontinuity (2008), in: Vadose Zone Journal, 7:3(1001-1007) | , , and ,
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2011
Dimension-invariant Sobolev imbeddings, in: Function Spaces IX., Warszawa, pages 205-217, Polish Academy of Sciences, 2011 | and ,
2010
Moduli and characteristics of monotonicity in some Banach lattices (2010), in: Fixed point theory and applications, 2010:852346 | , , and ,
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2007
An Improved Semi-Analytical Solution for Verification of Numerical Models of Two-Phase Flow in Porous Media (2007), in: Vadose Zone Journal:6(93-104) | , , and ,
2006
2007
Influence of capillary pressure parameters on two-phase flow (2007), in: Kybernetika, 43(831--840) | and ,
Finite difference scheme for the Willmore flow of graphs (2007), in: Kybernetika, 43(855--867) | ,
2006
Flow and pollution transport in the street canyon, pages 4--8, 2006 | and ,
2007
Vector field visualization by means of anisotropic diffusion, pages 193--205, 2007 | ,
VODA Multiphase Flow Code for Investigation of NAPL Behavior at Heterogeneous Sand Layers, 2007 | , and ,
Crystalline Motion in Hele-Shaw Cells, pages 271--274, 2007 | , and ,
Numerical Simulation of Coal Combustion in Industrial Boiler, pages 7--18, 2007 | , , and ,
Computational Study of the Gray-Scott Model, pages 19--28, 2007 | ,
Nonlinear Gauss-Seidel Scheme for Allen Cahn Type Systems, pages 29--36, 2007 | , , and ,
Numerical Simulation of Dislocation Dynamics, pages 45--53, 2007 | ,
Analytical and Numerical Aspects on Motion of Polygonal Curves with Constant Area Speed, 2007 | , and ,
2008
Fractal Image Feature Vectors with Applications in Fractography (2008), in: Image Analysis and Stereology, 2:27(63--71) | , , and ,
Quantitative Aspects of Microstructure Formation in Solidification (2008), in: Multiscale Materials Modeling(746--751) | , and ,
Implicit Numerical Scheme for Modelling Dynamic Effect in Capillary Pressure, pages 29--38, 2008 | ,
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Large Data Existence Result for Unsteady Flows of Inhomogeneous Shear-Thickening Heat-Conducting Incompressible Fluids (2010), in: Communications in Partial Differential Equations, 35:10(1891-1919) | , and ,
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FEM for Flow and Pollution Transport in a Street Canyon., in: Numerical Mathematics and Advanced Applications 2009, Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, Sweden, pages 115-123, 2010 | , and ,
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Mathematical properties of flows of incompressible power-law-like fluids that are described by implicit constitutive relations (2008), in: Electron. Trans. Numer. Anal., 31(110--125) | ,
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Mathematical modeling and simulation of flow in domains separated by leaky semipermeable membrane including osmotic effect (2010), in: Applications of Mathematics, 56:1(51--68) | , and ,
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Stability with respect to domain of the low Mach number limit of compressible viscous fluids (2013), in: Archive for Rational Mechanics and Analysis, 23:13(2465–2493) | , , and ,
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Delamination and adhesive contact models and their mathematical analysis and numerical treatment, in: Math. Methods and Models in Composites, Imperial College Press, 2012 | , and ,
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Multi-dimensional scalar conservation laws with fluxes discontinuous in the unknown and the spatial variable (2013), in: Mathematical Models and Methods in Applied Sciences, 23:3(407--439) | , and ,
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A quasistatic mixed-mode delamination model (2011), in: Discrete and Continuous Dynamical Systems - Series S | , and ,
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Remarks on regularity criteria for axially symmetric weak solutions to the Navier–Stokes equations (2012), in: Mathematical Methods in the Applied Sciences, 35:3(360--371) | , and ,
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Two notes on eventually differentiable families of operators (2010), in: Comment. Math. Univ. Carolin., 51:1(19--24) | ,
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Characterization of a rearrangement-invariant hull of a Besov space via interpolation (2012), in: Rev. Mat. Complutense, 25:1(267-283) | , and ,
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Compactness of Hardy operators involving suprema (2011) | and ,
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The CUDA implementation of the method of lines for the curvature dependent flows (2011), in: Kybernetika, 45:2(251-272) | , and ,
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Phase-Field Modelling of Heteroepitaxial Growth, in: Sborník workshopu doktorandů FJFI oboru Matematické inženýrství, KM FJFI ČVUT, Praha, 2011 | ,
Constrained Level Set Method and its Application to Image Segmentation (2011), in: Applied Mathematics and Computation | , and ,
Towards Clinical Applicability of the Diffusion-based DT-MRI Visualization Algorithm (2011), in: Journal of Visual Communication and Image Representation | and ,
Segmentation of MRI data by means of nonlinear diffusion (2011), in: Kybernetika | , and ,
Computational studies of non-local anisotropic Allen-Cahn equation (2011), in: Mathematica Bohemica, 136:4(429-437) | , and ,
New Row-grouped CSR Format for Storing the Sparse Matrices on GPU with Implementation in CUDA (2011), in: Acta Technica | , and ,
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Computational Investigation and Assessment of Numerical Schemes for Anisotropic Diffusion Equations, in: COE Lecture Note, pages 73-83, Faculty of Mathematics, Kyushu University Fukuoka, 2012 | , and ,
Graph Cuts in Segmentation of Left Ventricle from MRI Data, in: COE Lecture Note, pages 46-54, Faculty of Mathematics, Kyushu University Fukuoka, 2012 | and ,
Phase-field approach to crystal growth, in: COE Lecture Note, pages 18-25, Faculty of Mathematics, Kyushu University Fukuoka, 2012 | , and ,
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Application of a degenerate diffusion method in medical image processing (2011), in: Journal of Math for Industry(33-40) | , and ,
Application of the nonlinear Galerkin FEM method to the solution of the reaction diffusion equations (2011), in: Journal of Math for Industry(41-52) | ,
Numerical Simulation of Anisotropic Surface Diffusion of Graphs, in: RIMS proceedings "Bessatsu Kokyuroku", Kyoto, Japan, 2011 | and ,
Mathematical modelling of combustion and biofuel co-firing in industrial steam generators, in: RIMS proceedings "Bessatsu Kokyuroku", Kyoto, Japan, 2011 | , , , and ,
Simulation of dislocation annihilation by cross-slip (2011), in: Acta Physica Polonica | , and ,
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Dislocation-Precipitate Interaction In Discrete Dislocation Dynamics, in: COE Lecture Note, pages 55-62, Faculty of Mathematics, Kyushu University Fukuoka, 2012 | and ,
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Simulation of dislocation cross-slip, in: Proceedings of RIMS seminar, Kyoto, Japan, 2011 | , and ,
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A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems (2010), in: Journal of Non-Newtonian Fluid Mechanics, 165:19(1105-1113) | , , and ,
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Quasistatic small-strain plasticity in the limit of vanishing hardening and its numerical approximation (2012), in: SIAM J. Numer. Anal. | , and ,
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Thermodynamics and analysis of rate-independent adhesive contact at small strains (2011), in: Nonlinear Analysis: Theory, Methods & Applications, 74(3159-3190) | and ,
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Mappings of finite signed distortion: Sobolev spaces and composition of mappings (2012), in: Journal of Mathematical Analysis and Applications, 386(870-881) | ,
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Boundary Regularity of Flows under Perfect Slip Boundary Conditions (2012), in: preprint | and ,
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Semi-Implicit Solution of the Convection-Diffusion Problems with Applications in Fluid Dynamics, pages 1200-1203, AIP, 2009 | , , and ,
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A priori error estimates of an extrapolated space-time discontinuous galerkin method for nonlinear convection-diffusion problems (2011), in: Numerical Methods for Partial Differential Equations, 27:6(1456--1482) | , and ,
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Modeling of shape-memory alloys on the mesoscopic level, in: ESOMAT 2009 - 8th European Symposium on Martensitic Transformations, pages 7, EDP Sciences, 2009 | ,
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Thermodynamically-consistent mesoscopic model of the ferro/paramagnetic transition (2012), in: ZAMP - Zeitschrift für Angewandte Mathematik und Physik | , and ,
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Micro-to-meso scale limit for shape-memory-alloy models with thermal coupling (2012), in: Multiscale Modeling and Simulation | and ,
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Simulation of compressible viscous flow in time-dependent domains (2013), in: Appl. Math. Comput., 219:13 | , , , and ,
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2012
DGFEM for the analysis of airfoil vibrations induced by compressible flow (2012), in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik | and ,
2010
Across multiscales in solid mechanics via Gamma-convergence in the context of quasistatic evolution, in: Microstructures in Solids: From Quantum Models to Continua, pages 785-787, Mathematisches Forschungsinstitut, 2010 | ,
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2011
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion (2011), in: ESAIM: Mathematical Modelling and Numerical Analysis, 45:03(477-504) | and ,
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Quasistatic delamination models for Kirchhoff-Love plates (2011), in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 91:11(845--865) | , , and ,
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2012
From damage to delamination in nonlinearly elastic materials at small strains (2012), in: Journal of Elasticity | , and ,
Phase transformations in electrically conductive ferromagnetic shape-memory alloys, their thermodynamics and analysis (2012), in: Archive for Rational Mechanics and Analysis | and ,
2013
Existence of Global Weak Solutions to Implicitly Constituted Kinetic Models of Incompressible Homogeneous Dilute Polymers (2013), in: Communications in Partial Differential Equations, 58:5(882--924) | , and ,
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Existence of solutions for the anti-plane stress for a new class of "strain-limiting" elastic bodies (2015), in: Calculus of Variations and PDE's, 54:2(2115--2147) | , , and ,
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Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations (2014), in: Numerical Algoritms, 65:4(759-782) | and ,
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Particle free bodies, 2013 | ,
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On Existence Of Weak Solution To A Model Describing Incompressible Mixtures With Thermal Diffusion Cross Effects (2015), in: Z. Angew. Math. Mech., 95:6(589--619) | and ,
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Comparison of stabilized finite element methods for simulation of flow of diluted polymeric liquids (2013), in: unknown | and ,
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On investigating GMRES convergence using unitary matrices (2014), in: Linear Algebra and its Applications, 450:1(83-107) | , , and ,
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Two-sided bounds for eigenvalues of differential operators with applications to Friedrichs', Poincaré, trace, and similar constants (2014), in: Siam Journal on Numerical Analysis, 52:1(308-329) | and ,
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2013
Regularity of planar flows for shear-thickening fluids under perfect slip boundary conditions, 2013 | ,
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The Core Problem Within a Linear Approximation Problem Ax ≈ B With Multiple Right-Hand Sides (2013), in: SIAM Journal on Matrix Analysis and Applications, 34:3(917-931) | , and ,
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Numerical simulation of vibrations of an airfoil with three degrees of freedom induced by turbulent flow, 2013 | , and ,
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hp-DGFEM for nonlinear convection-diffusion problems (2013), in: Mathematics and Computers in Simulation, 87(87-118) | ,
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A design of residual error estimates for a high order BDF-DGFEM applied to the compressible flows, 2013 | ,
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A mesoscopic thermomechanically-coupled model for thin-film shape-memory alloys by dimension reduction and scale transition, 2013 | , and ,
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A model of rupturing lithospheric faults with re-occurring earthquakes (2013), in: SIAM J. Appl. Math., 73:4(1460--1488) | , and ,
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2014
On Incremental Condition Estimators in the 2-Norm (2014), in: SIAM. J. Matrix Anal. & Appl., 35:1(174--197) | and ,
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A microscopically motivated constitutive model for shape memory alloys: formulation, analysis and computations, 2013 | , and ,
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On models for viscoelastic materials that are mechanically incompressible and thermally compressible or expansible and their Oberbeck–Boussinesq type approximations (2013), in: Mathematical Models and Methods in Applied Sciences, 23:10(1761--1794) | and ,
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Average Corotation of Line Segments Near a Point and Vortex Identification (2013), in: AIAA Journal, 51:11(2678-2694) | , , and ,
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2014
Existence Analysis For a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid (2014), in: SIAM Journal on Mathematical Analysis, 46:5(3223--3240) | and ,
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2015
On the weak solutions to the equations of a compressible heat conducting gas (2015), in: Annales de l'Institut Henri Poincaré. Analyse non Linéaire, 32:1(225–243) | , and ,
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2013
Maximally-dissipative local solutions to rate-independent systems and application to damage and delamination problems, 2013 | ,
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2015
Algebraic and discretization error estimation by equilibrated fluxes for discontinuous Galerkin methods on nonmatching grids (2015), in: Journal of Scientific Computing, 64:1(1–34) | , and ,
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2014
A note on iterative refinement for seminormal equations (2014), in: Applied Numerical Mathematics, 75(167--174) | , and ,
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Analysis and approximation of a strain-limiting nonlinear elastic model (2015), in: Mathematics and Mechanics of Solids, 20:1(92–118) | , and ,
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Weighted integral techniques and C-alpha-estimates for a class of elliptic systems with p-growth (2015), in: Annali di Matematica Pura ed Applicata, 194:4(1025--1069) | , and ,
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2013
Metody pro redukci dimenze v mnohorozměrné statistice a jejich výpočet (in Czech with English Abstract), 2013 | and ,
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2014
Global existence for a nonlinear model of 1D chemically reacting viscoelastic body (2014), in: Riv. Mat. Univ. ParmaRiv., 5:2(399 - 423) | ,
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One-dimensional model describing the non-linear viscoelastic response of materials (2014), in: Comment. Math. Univ. Carolin., 55:2(227--246) | ,
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On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures (2014), in: Acta Mechanica, 225:11(3157-3186) | , , and ,
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Ice melting and downward transport of meltwater by two-phase flow in Europa's ice shell (2014), in: JGR-Planets, 119:3(532-549) | , , , and ,
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Convergence to equilibrium of relatively compact solutions to evolution equations (2014), in: Electron. J. Diff. Equ., 2014:81(1--9) | ,
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Cholesky-like factorization of symmetric indefinite matrices and orthogonalization with respect to bilinear forms (2015), in: SIAM J. Matrix Anal. & Appl., 36:2(727-751) | , and ,
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On the Regularity of Two-Dimensional Unsteady Flows of Heat-Conducting Generalized Newtonian Fluids (2014), in: Nonlinear Analysis: Real World Applications, 19(89--104) | , and ,
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Accurate Reduction of a Model of Circadian Rhythms by Delayed Quasi Steady State Assumptions (2014), in: Mathematica Bohemica, 139:4(577-585) | ,
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2015
Numerical methods for solving the Cahn-Hilliard equation and its applicability to related Energy-based models (2015), in: Archives of Computational Methods in Engineering, 22:2(269--289) | and ,
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Rotating compressible fluids under strong stratification (2014), in: Nonlinear Analysis: Real World Applications, 19(11–18) | , and ,
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Robust Error Bounds for Finite Element Approximation of Reaction-Diffusion Problems with Non-Constant Reaction Coefficient in Arbitrary Space Dimension (2014), in: Comput. Methods Applied Mechanics. Engineering, 281(184-199) | and ,
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The motion of a piezoviscous fluid under a surface load (2014), in: International Journal of Non-Linear Mechanics, 60:4(23-32) | and ,
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Existence Results for Incompressible Magnetoelasticity, 2014 | , and ,
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2015
A generalization of the Darcy-Forchheimer equation involving an implicit, pressure-dependent relation between the drag force and the velocity (2015), in: Journal of Mathematical Analysis and Applications, 424:1(785-801) | , and ,
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Uniqueness of rarefaction waves in multidimensional compressible Euler system (2015), in: Journal of Hyperbolic Differential Equations, 12:3(489–499) | and ,
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2014
A simple and efficient BEM implementation of quasistatic linear visco-elasticity (2014), in: International Journal of Solids and Structures | , and ,
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Identifying and Approximating Monotonous Segments of Algebraic Curves Using Support Function Representation (2014), in: Computer Aided Geometric Design | and ,
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C 2 Hermite interpolation by Pythagorean-hodograph quintic triarcs (2014), in: Computer Aided Geometric Design | , , , , , , , and ,
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On the Parameterization of Rational Ringed Surfaces and Rational Canal Surfaces (2014), in: Mathematics in Computer Science | , , , and ,
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C 1 Hermite interpolation with spatial Pythagorean-hodograp h cubic biarcs (2014), in: Journal of Computational and Applied Mathematics, 257(65-78) | , , , , , , and ,
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Exploiting the Implicit Support Function for a Topologically Accurate Approximation of Algebraic Curves (2014), in: Lecture Notes in Computer Science, 8177(49-67) | and ,
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2015
Global weak solutions to a class of non-Newtonian compressible fluids (2015), in: Math. Methods Appl. Sci., 38:16(3482–3494) | , and ,
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2014
A generalization of some regularity criteria to the Navier-Stokes equations involving one velocity component, 2014 | and ,
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2015
Band generalization of the Golub--Kahan bidiagonalization, generalized Jacobi matrices, and the core problem (2015), in: SIAM Journal on Matrix Analysis and Applications, 36:2(417–434) | , and ,
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A mixed finite element method for Darcy’s equations with pressure dependent porosity (2016), in: Mathematics of Computation, 85(1--33) | , and ,
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A note about the rate-and-state-dependent friction model in a thermodynamical framework of the Biot-type equation (2014), in: Geophysical Journal International, 199:1(286--295) | ,
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2015
On numerical behavior of matrix splitting iteration methods (2015), in: SIAM Journal on Numerical Analysis (SINUM), 53:4(1116-1137) | and ,
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On the low Mach number limit of compressible flows in exterior moving domains (2016), in: Journal of Evolution Equations, 16:3(705–722) | , , and ,
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On elastic solids with limiting small strain: modelling and analysis (2014), in: EMS Surveys in Mathematical Sciences, 1:2(283–332) | , , and ,
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On generalized Stokes' and Brinkman's equations with pressure- and shear-dependent viscosity and drag coefficient (2015), in: Nonlinear Anal. Real World Appl., 26(109--132) | , and ,
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2014
The role eigenvalues play in forming GMRES residual norms with non-normal matrices (2014), in: Numerical Algorithms | and ,
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Energetic versus maximally-dissipative local solutions of a quasi-static rate-independent mixed-mode delamination model (2014), in: Meccanica | , and ,
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Water transport in planetary ice layers - a parametric study (2014), in: Geophys. Astro. Fluid., 108:6(639-666) | , and ,
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Approximation of Smectic-A liquid crystals (2015), in: Computer Methods in Applied Mechanics and Engineering, 290:15(342--361) | and ,
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Notes on the trace problem for separately convex functions (2017), in: ESAIM Control Optim. Calc. Var., 23(1617-1648) | and ,
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2015
Multi-phase modeling of non-isothermal reactive flow in fluidized bed reactors (2015), in: Journal of Computational and Applied Mathematics, 289(282-295) | , and ,
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Tensorial implicit constitutive relations in mechanics of incompressible non-Newtonian fluids (2015), in: Journal of non-Newtonian Fluid Mechanics, 216(13–21) | and ,
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On PDE analysis of flows of quasi-incompressible fluids (2016), in: Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 96:4(491–508) | , and ,
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Heat conduction problem of an evaporating liquid wedge (2015), in: Electron. J. Diff. Equ., 2015:53 | , and ,
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Old and new results in regularity theory for diagonal elliptic systems via blow up techniques (2015), in: J. Differential Equations, 259:11(6528--6572) | , and ,
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Landform assemblage in Isidis Planitia, Mars: Evidence for a 3 Ga old polythermal ice sheet. (2015), in: Earth and Planetary Science Letters, 411(253-267) | , , and ,
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Despinning and shape evolution of Saturn's moon Iapetus triggered by a giant impact (2015), in: Icarus, 252(454-465) | , , , , and ,
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Stability of the isentropic Riemann solutions of the full multidimensional Euler system (2015), in: SIAM Journal on Mathematical Analysis, 47:3(2416–2425) | , and ,
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2016
Convergence to equilibrium for solutions of an abstract wave equation with general damping function (2016), in: Cover image Journal of Differential Equations, 260:3(2259-2274) | and ,
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Analysis of a viscosity model for concentrated polymers (2016), in: Mathematical Models and Methods in Applied Sciences (M3AS), 26:8(1599–1648) | , , and ,
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Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems (2016), in: Anal. PDE, 9:5(1115--1151) | , and ,
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2015
Unilateral regulation breaks regularity of turing patterns, 2015 | , , and ,
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Homogenization of the stationary compressible Navier-Stokes equations in domains with tiny holes (2015), in: Journal of Mathematical Fluid Mechanics, 17:2(381–392) | and ,
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Band generalization of the Golub-Kahan bidiagonalization, generalized Jacobi matrices, and the core problem (2015), in: SIAM Journal on Matrix Analysis and Applications, 36:2(417-434) | , and ,
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Amalgamations of classes of Banach spaces with a monotone basis (2016), in: Studia Mathematica, 234(121-148) | ,
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2015
BDDC for Mixed-Hybrid Formulation of Flow in Porous Media with Combined Mesh Dimensions (2015), in: Numerical Linear Algebra with Applications, 22:6(903-929) | , and ,
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Large data existence theory for unsteady flows of fluids with pressure- and shear-dependent viscosities (2015), in: Nonlinear Anal. Theory Methods Appl., 127(94--127) | and ,
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Anisotropic hp-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs (2015), in: Applied Mathematics and Computation | ,
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Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows (2015), in: Comput. Fluids, 117(304-324) | , and ,
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Vibrations of a lumped parameter mass-spring-dashpot system wherein the spring is described by a non-invertible elongation-force constitutive function (2015), in: International Journal of Non-Linear Mechanics, 76(154–163) | , , and ,
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Corotational and Compressibility Aspects Leading to a Modification of the Vortex-Identification Q-Criterion (2015), in: AIAA Journal, 53:8(2406-2410) | and ,
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2016
Zippin's embedding theorem and amalgamations of classes of Banach spaces (2016), in: Proc. Amer. Math. Soc., 144(4273-7277) | ,
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Non-universal families of separable Banach spaces (2016), in: Studia Mathematica, 233(153-168) | ,
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2015
Complex wedge-shaped matrices: A generalization of Jacobi matrices (2015), in: Linear Algebra and its Applications, 487(203–219) | and ,
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Parallel iterative solution of the incompressible Navier–Stokes equations with application to rotating wings (2015), in: Computers & Fluids, 122(165–183) | and ,
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2016
Squeeze flow of a piezoviscous fluid (2016), in: Applied Mathematics and Computation, 274(414–429) | and ,
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2015
On the Convergence of QOR and QMR Krylov Methods for Solving Nonsymmetric Linear Systems (2015), in: BIT Numerical Mathematics | and ,
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2017
On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth (2017), in: Archive for Rational Mechanics and Analysis, 225:2(717--769) | , , and ,
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2016
Systems describing electrothermal effects with p(x)-Laplacian like structure for discontinuous variable exponents (2016), in: SIAM J. Math. Anal.,, 48:5(3496--3514) | , and ,
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2017
The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system (2017), in: ESAIM: Control, Optimisation and Calculus of Variations, 23:3(851-868) | , and ,
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2016
Uniform estimates for Stokes equations in domains with small holes and applications in homogenization problems, 2016 | ,
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Dissipative weak solutions to compressible Navier–Stokes–Fokker–Planck systems with variable viscosity coefficients (2016), in: Journal of Mathematical Analysis and Applications, 443:1(322–351) | , and ,
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Existence of very weak solutions to elliptic systems of p-Laplacian type (2016), in: Calc. Var. Partial Differential Equations, 55:3(55:52) | and ,
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2015
On a variant of the Maxwell and Oldroyd-B models within the context of a thermodynamic basis (2015), in: International Journal of Non-Linear Mechanics, 76(42--47) | , and ,
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2016
A thermodynamically compatible model for describing asphalt binders: solutions of problems (2016), in: International Journal of Pavement Engineering, 17:6(550-564) | , and ,
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2015
Multicomponent model of deformation and detachment of a biofilm under fluid flow (2015), in: Journal of the Royal Society Interface, 12(20150045) | , , , and ,
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2016
On the influence of wavy riblets on the slip behaviour of viscous fluids (2016), in: Zeitschrift für angewandte Mathematik und Physik (ZAMP), 67:2(67:27) | , and ,
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2017
Analysis of an augmented mixed-FEM for the Navier-Stokes problem (2017), in: Mathematics of Computation, 86:304(589–615) | , and ,
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2016
An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity (2016), in: SIAM Journal on Numerical Analysis, 54:2(1069–1092) | , , and ,
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Linear unconditional energy-stable splitting schemes for a phase-field model for Nematic-Isotropic flows with anchoring effects (2016), in: International Journal for Numerical Methods in Engineering (IJNME), 108:6(535–567) | , and ,
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2017
Internal flows of incompressible fluids subject to stick-slip boundary conditions (2017), in: Vietnam Journal of Mathematics, 45(2017--220) | and ,
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2016
Factorized approximate inverses with adaptive dropping (2016), in: SIAM Journal on Scientific Computing, 38:3(A1807–A1820) | , and ,
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On the response of physical systems governed by non-linear ordinary differential equations to step input (2016), in: International Journal of Non-Linear Mechanics, 81(207–221) | and ,
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Euler–Bernoulli type beam theory for elastic bodies with nonlinear response in the small strain range (2016), in: Archives of Mechanics, 68:1(3-25) | , and ,
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Solvability of the core problem with multiple right-hand sides in the TLS sense (2016), in: SIAM J. on Matrix Anal. and Appl., 37:3(861--876) | , and ,
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2017
Homogenization of a stationary flow of an electrorheological fluid (2017), in: Annali di Matematica Pura ed Applicata, 196:3(1185--1202) | , and ,
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2016
On Unsteady Internal Flows of Bingham Fluids Subject to Threshold Slip on the Impermeable Boundary, in: Recent Developments of Mathematical Fluid Mechanics, pages 135--156, Birkhauser, 2016 | and ,
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2017
Thermistor systems of p(x)-Laplace-type with discontinuous exponents via entropy solutions (2017), in: Discrete and Continuous Dynamical Systems - Series S, 10:4(697--713) | , and ,
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Estimating and localizing the algebraic and total numerical errors using flux reconstructions (2017), in: Numerische Mathematik(1-41) | , and ,
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2016
A unified theory for some non Newtonian fluids under singular forcing (2016), in: SIAM J. Math. Anal, 48:6(4241--4267) | , and ,
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On unified theory for scalar conservation laws with fluxes and sources being discontinuous with respect to the unknown (2017), in: Journal of Differential Equations, 262:1(313--364) | , and ,
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2016
An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes (2016), in: Submitted to "Mathematical Models and Methods in Applied Sciences" | , and ,
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On homogenization of stationary flows of incompressible non-Newtonian fluids and the uniform continuity of the maximal function in the spaces with highly oscillating variable exponent, 2016 | , and ,
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Globally Lipschitz minimizers for variational problems with linear growth (2017), in: ESAIM: COCV | , and ,
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On the response of nonlinear viscoelastic materials in creep and stress relaxation experiments in the lubricated squeeze flow setting (2016), in: Physics of Fluids, 28:10(103102) | , and ,
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Existence and regularity results for weak solutions to $(p,q)$-elliptic systems in divergence form, 2017 | , , and ,
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2018
A revision of results for standard models in elasto-perfect-plasticity theory (2018), in: Calculus of Variations and Partial Differential Equations, 57:2(Article 50) | and ,
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The Numerical Stability Analysis of Pipelined Conjugate Gradient Methods: Historical Context and Methodology (2018), in: SIAM J. Sci. Comput., 40:5(A3549–A3580) | , , , and ,
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Preconditioning of linear least squares by robust incomplete factorization for implicitly held normal equations (2016), in: SIAM Journal on Scientific Computing, 38:6(C603–C623) | and ,
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Existence and smoothness for a class of $n$D models in elasticity theory of small deformations (2018), in: ZAMP, 69(20) | and ,
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An energy-conserving time-discretisation scheme for poroelastic media with phase-field fracture emitting waves and heat, 2016 | ,
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Existence analysis for incompressible fluid model of electrically charged chemically reacting and heat conducting mixtures (2017), in: SIAM J. Math. Anal., 49:5(3776--3830) | , and ,
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Tsirelson-like spaces and complexity of classes of Banach spaces (2018), in: Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM, 112:4(1101-1123) | ,
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An adaptive multilevel factorized sparse approximate inverse preconditioning (2017), in: Advances in Engineering Software, 113(19-24) | , and ,
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Effect of the tiger stripes on the deformation of Saturn's moon Enceladus (2016), in: Geophysical Research Letters, 43:14(7417--7423) | , , and ,
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Determination of pressure data from velocity data with a view toward its application in cardiovascular mechanics. Part 1. Theoretical considerations (2016), in: International Journal of Engineering Science, 105(108 - 127) | , , , and ,
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Determination of pressure data from velocity data with a view towards its application in cardiovascular mechanics. Part 2: a study of aortic valve stenosis. (2017), in: International Journal of Engineering Science | , , , and ,
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On power-law fluids with the power-law index proportional to the pressure (2016), in: Applied Mathematics Letters, 62(118--123) | , and ,
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Response of a class of mechanical oscillators described by a novel system of differential-algebraic equations (2016), in: Applications of Mathematics, 61:1(79--102) | , and ,
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Water generation and transport below Europa's strike-slip faults (2016), in: JGR-Planets:121 | , , , and ,
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Plume activity and tidal deformation of Enceladus influenced by faults and variable ice shell thickness (2017), in: Astrobiology, 17:9(941-954) | , , and ,
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Colombeau algebra as a mathematical tool for investigating step load and step deformation of systems of nonlinear springs and dashpots (2017), in: Zeitschrift für angewandte Mathematik und Physik, 68:24 | , and ,
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2016
Notes on performance of bidiagonalization-based estimator in image deblurring, in: Proceedings of Algoritmy 2016 - 20th Conference on Scientific Computing, pages 333--342, 2016 | , and ,
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Braun-Le Chatelier principle in dissipative thermodynamics (2016), in: Proceedings of Accademia Peloritana dei Pericolanti (2016) | and ,
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A hierarchy of Poisson brackets in non-equilibrium thermodynamics (2016), in: Physica D: Nonlinear Phenomena, 335(54-69) | , , and ,
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Stationary solutions to the compressible Navier-Stokes system with general boundary conditions, 2017 | and ,
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Stability of the ALE space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains (2017), in: Mathematical Modelling and Numerical Analysis | , and ,
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Modeling Gum Metal and other newly developed titanium alloys within a new class of constitutive relations for elastic bodiestic bodies, 2017 | , and ,
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2019
Homogenization of nonlinear elliptic systems in nonreflexive Musielak-Orlicz spaces (2019), in: Nonlinearity, 32:3(1073--1110) | , , and ,
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On thermodynamics of incompressible viscoelastic rate type fluids with temperature dependent material coefficients (2017), in: International Journal of Non-Linear Mechanics, 95(193–208) | , , , and ,
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Gradient $L^q$ theory for a class of non-diagonal nonlinear elliptic systems (2018), in: Nonlinear Analysis, 171(156--169) | , , and ,
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Viscoelastic rate type fluids with temperature dependent material parameters – stability of the rest state (2017), in: AIP Conf. Proc., 1843(020004) | and ,
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Thermodynamics of viscoelastic rate-type fluids with stress diffusion (2018), in: Physics of Fluids, 30:2 | , , and ,
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PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion (2017), in: Contemporary Mathematics, American Mathematical Society | , , and ,
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Bellman systems with mean field dependent dynamics (2018), in: Chin. Ann. Math. Ser. B, 39:3(461--486) | , and ,
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Sign patterns of J-orthogonal matrices (2017), in: Special Matrices, 5:1(225-241) | , , and ,
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On GMRES for singular EP and GP systems, 2017 | and ,
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Analysis of a low memory implementation of the Orthogonal Matching Pursuit greedy strategy, 2017 | , and ,
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A boundary regularity result for minimizers of variational integrals with nonstandard growth (2018), in: Nonlinear Analysis, Nonlinear Anal.:177(153--168) | , , and ,
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Any admissible harmonic Ritz value set is possible for GMRES (2017), in: ETNA, 47(37--56) | , and ,
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Powering prolonged hydrothermal activity inside Enceladus (2017), in: Nature Astronomy, 1(841-847) | , , , and ,
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On some practical issues concerning the implementation of Cahn-Hilliard-Navier-Stokes type models (2017), in: International Journal of Advances in Engineering Sciences and Applied Mathematics, 9:1(30-39) | , and ,
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A continuum model of heterogeneous catalysis: thermodynamic framework for multicomponent bulk and surface phenomena coupled by sorption (2017), in: International Journal of Engineering Science | , , and ,
2018
Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh (2018), in: Electronic Transactions on Numerical Analysis (ETNA), 48(40-62) | , , and ,
The field of values bound on ideal GMRES (2018), in: SIMAX | and ,
The Lanczos algorithm and complex Gauss quadrature (2018), in: ETNA (ACTA17 Proceedings), 50(1-19) | , and ,
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Algebraic description of the finite Stieltjes moment problem (2019), in: Linear Algebra and its Applications, 561(207-227) | and ,
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Decomposition into subspaces preconditioning: abstract framework (2018), in: SIAM | , and ,
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On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index (2019), in: J. Math. Fluid Mech., 21:1(Art. 15, 22 pp.) | , and ,
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A phase-field approach to Eulerian interfacial energies, 2018 | , , and ,
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A new class of models to describe the response of electrorheological and other field dependent fluids, in: Generalized models and non-classical approaches in complex materials 1, Springer, 2018 | and ,
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Motion of the vitreous humour in a deforming eye–fluid-structure interaction between a nonlinear elastic solid and viscoleastic fluid (2018), in: Applied Mathematics and Computation, 335(50-64) | , , and ,
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2019
On a class of compressible viscoelastic rate-type fluids with stress--diffusion (2019), in: Nonlinearity, 32:12(4665--4681) | , and ,
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2018
Approximating the extreme Ritz values and upper bounds for the A-norm of the error in CG (2018), in: Numerical Algorithms, online first | and ,
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A Simple Approach to Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Problems, 2018 | and ,
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2019
The Gauss quadrature for general linear functionals, Lanczos algorithm, and minimal partial realization, 2019 | and ,
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Numerical scheme for simulation of transient flows of non-newtonian fluids characterised by a non-monotone relation between the symmetric part of the velocity gradient and the Cauchy stress tensor (2019), in: Acta Mechanica, 230:3(729-747) | , , and ,
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On diffusive variants of some classical viscoelastic rate-type models (2019), in: AIP Conference Proceedings, 2107(020002) | , and ,
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2020
Existence and qualitative theory for nonlinear elliptic systems with a nonlinear interface condition used in electrochemistry (2020), in: Z. Angew. Math. Phys., 71:3(Article 74) | , and ,
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Finite amplitude stability of internal steady flows of the Giesekus viscoelastic rate-type Fluid (2019), in: Entropy, 21:12(1219) | , and ,
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2021
Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion (2021), in: Advances in Nonlinear Analysis, 10:1(501--521) | , and ,
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2020
Gibbs free energy based representation formula within the context of implicit constitutive relations for elastic solids (2020), in: International Journal of Non-Linear Mechanics, 121(103433) | , and ,
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Computer modelling of origami-like structures made of light activated shape memory polymers (2020), in: International Journal of Engineering Science, 150(103235) | and ,
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Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces (2020), in: Nonlinear Analysis, 194 | , , and ,
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2021
On unsteady flows of pore pressure-activated granular materials (2021), in: Z. Angew. Math. Phys., 70:1(Paper No. 6) | , , , and ,
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Regularity results for two standard models in elasto-perfect-plasticity theory with hardening (2021), in: J. Convex Anal., 28:2(395--428) | , and ,
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On incompressible heat-conducting viscoelastic rate-type fluids with stress-diffusion and purely spherical elastic response (2021), in: SIAM J. Math. Anal., 53:4(3985--4030) | , , and ,
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Functions of rational Krylov space matrices and their decay properties (2021), in: Numerische Mathematik, 148(99–126) | and ,
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On nonlinear problems of parabolic type with implicit constitutive equations involving flux (2021), in: Math. Models Methods Appl. Sci., 31:10(2039--2090) | , and ,
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A simple construction of a thermodynamically consistent mathematical model for non-isothermal flows of dilute compressible polymeric fluids (2020), in: Fluids, 5:3(133) | , , and ,
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On the dynamic slip boundary condition for Navier--Stokes-like problems (2021), in: Math. Models Methods Appl. Sci., 31:11(2165--2212) | , and ,
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Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body (2021), in: Commun. Pure Appl. Anal., 20:5(1931--1960) | , , and ,
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2020
Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data, 2020 | , , and ,
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2021
Global weak solution of the diffusive Johnson-Segalman model of a viscoelastic heat-conducting fluid, 2021 | , and ,
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2020
On a Neumann problem for variational functionals of linear growth (2020), in: Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), XXI(695--737) | , and ,
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2021
On evolutionary problems with a-priori bounded gradients, 2021 | , and ,
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Implicit type constitutive relations for elastic solids and their use in the development of mathematical models for viscoelastic fluids (2021), in: Fluids, 6:3 | and ,
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2020
A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation (2020), in: Mathematics and Mechanics of Solids, 25:12(2222-2230) | and ,
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2021
Unconditional finite amplitude stability of a fluid in a mechanically isolated vessel with spatially non-uniform wall temperature (2021), in: Continuum Mechanics and Thermodynamics, 33(515–543) | , and ,
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On planar flows of viscoelastic fluids of Burgers type, 2021 | , , and ,
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Temperature field and heat generation at the tip of a cutout in a viscoelastic solid body undergoing loading (2021), in: Applications in Engineering Science, 6(100054) | and ,
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Weakly nonlinear analysis of Rayleigh–Bénard convection problem in extended Boussinesq approximation (2021), in: Applied Mathematics and Computation, 408(126374) | , and ,
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