Keywords:
- $C^{1
- $\infty$-Laplacian
- Algebraic turbulence model
- Almost everywhere convergence of gradients
- a~priori bounded gradient
- Bellman equation
- boundary regularity
- Cauchy problem
- Cauchy stress
- Classical Solution
- Compressible fluid
- Convective term
- Darcy–Forchheimer equation
- decomposition of the pressure
- Dimension of attractor
- Dirichlet and Neumann boundary conditions
- discontinuous flux
- discontinuous viscosity
- dynamic slip
- elasto-plasticity
- Elliptic system
- Entropy solution
- existence
- Existence of solution
- existence of solutions
- existence result for large data
- Existence theory
- exponential attractor
- fractal dimension
- fully stationary point.
- Galerkin scheme
- Generalized Navier-Stokes fluid
- Generalized Navier-Stokes-Fourier system
- generalized viscosity
- global attractor
- Global existence
- global--in--time existence
- global-in-time existence
- gradient estimates
- Hamiltonians
- Hausdorf measure
- Heat conducting fluid
- Heat flux
- heat-conducting fluid
- Hyperbolic scalar conservation laws
- implicit constitutive equation
- Implicit constitutive theory
- Incompressible fluid
- Incompressible fluids
- incompressible fluid
- Incompressible non-Newtonian fluid
- inhomogeneous Euler fluid
- Johnson-Segalman
- Kelvin-Voigt model
- Korteweg fluid
- Korteweg stress
- large data
- large data existence
- Large-data and Long-time
- Lipschitz approximation of a Bochner function
- Lipschitz approximation of Sobolev functions
- Lipschitz approximations of Sobolev functions
- local-in-time well-posedness
- Lyapunov function
- Maximal monotone graph
- maximum principle
- Maximum/minimum principle
- mean filed equation
- Method of ℓ-trajectories
- Navier-Stokes-Fourier equations
- Navier’s slip boundary condition
- Navier’s slip boundary conditions
- Newtonian fluids
- Noether equation
- non-diagonal elliptic systems
- Non-linear convection–diffusion equation
- Non-linear heat equation
- non-linear wave equation
- non-Newtonian fluid
- non-Newtonian fluids
- non-Newtonian fluid
- non-Uhlenbeck systems
- nonlinear elliptic equations
- Nonlinear elliptic systems
- Nonlinear hyperbolic problem
- nonlinear parabolic equation
- nonlinear parabolic systems
- nonstandard growth conditions
- Optimal shape design
- Outflow boundary condition
- Paper machine headbox
- Power-law fluid
- Power-law fluids
- Pressure dependent material coefficient
- pressure dependent viscosity
- pressure- and shear-dependent material coefficients
- Pressure-dependent viscosity
- regularity
- renor- malized sub- and super-solutions.
- renormalized solution
- semi-continuity method
- shear rate dependent viscosity
- shear-dependent viscosity
- shear-thinning fluid
- singular set
- smooth solution
- spatially periodic problem
- splitting condition
- Squeezing property
- stability
- steady $p$-Navier--Stokes system
- Stochastic games
- Stokes-Fourier system
- stress diffusion
- Stress power
- stress-diffusion
- suitable weak solution
- synovial fluid
- temperature dependent viscosity
- temperature-dependent viscosity
- the viscosity increasing with a scalar quantity
- thermodynamics
- time regularity
- times of blow-up
- turbulent kinetic energy model
- uniqueness
- unsteady flows
- variable exponent
- variational integral
- viscoelastic fluid
- viscoelastic heat-conducting fluids
- viscoelastic solid
- weak lower- and upper- stability
- weak solution
- weak solutions
- well-posedness
- Young measures
- \alpha}$ regularity
- \\ temperature-dependent material moduli
Publications of Bulíček, Miroslav
2021
| , , and , 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) |
[DOI] |
| , and , Global weak solution of the diffusive Johnson-Segalman model of a viscoelastic heat-conducting fluid, 2021 |
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| , and , 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) |
[DOI] |
| , and , On evolutionary problems with a-priori bounded gradients, 2021 |
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| , , and , 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) |
[DOI] |
| , and , On nonlinear problems of parabolic type with implicit constitutive equations involving flux (2021), in: Math. Models Methods Appl. Sci., 31:10(2039--2090) |
[DOI] |
| , , and , On planar flows of viscoelastic fluids of Burgers type, 2021 |
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| , and , On the dynamic slip boundary condition for Navier--Stokes-like problems (2021), in: Math. Models Methods Appl. Sci., 31:11(2165--2212) |
[DOI] |
| , , , and , On unsteady flows of pore pressure-activated granular materials (2021), in: Z. Angew. Math. Phys., 70:1(Paper No. 6) |
[DOI] |
| , and , Regularity results for two standard models in elasto-perfect-plasticity theory with hardening (2021), in: J. Convex Anal., 28:2(395--428) |
[URL] |
2020
| , , and , Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces (2020), in: Nonlinear Analysis, 194 |
[DOI] |
| , and , 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) |
[DOI] |
| , , and , Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data, 2020 |
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| , and , On a Neumann problem for variational functionals of linear growth (2020), in: Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), XXI(695--737) |
[DOI] |
2019
| , , and , Homogenization of nonlinear elliptic systems in nonreflexive Musielak-Orlicz spaces (2019), in: Nonlinearity, 32:3(1073--1110) |
[DOI] |
| , and , On a class of compressible viscoelastic rate-type fluids with stress--diffusion (2019), in: Nonlinearity, 32:12(4665--4681) |
[DOI] |
| , and , 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.) |
[DOI] |
| , and , Thermodynamics and stability of non-equilibrium steady states in open systems (2019), in: Entropy, 21:7(704) |
[DOI] |
2018
| , , and , A boundary regularity result for minimizers of variational integrals with nonstandard growth (2018), in: Nonlinear Analysis, Nonlinear Anal.:177(153--168) |
[DOI] |
| and , 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) |
[DOI] |
| , and , Bellman systems with mean field dependent dynamics (2018), in: Chin. Ann. Math. Ser. B, 39:3(461--486) |
[DOI] |
| and , Existence and smoothness for a class of $n$D models in elasticity theory of small deformations (2018), in: ZAMP, 69(20) |
[DOI] |
| , , and , Gradient $L^q$ theory for a class of non-diagonal nonlinear elliptic systems (2018), in: Nonlinear Analysis, 171(156--169) |
[DOI] |
2017
| , and , 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) |
[DOI] |
| , , and , Existence and regularity results for weak solutions to $(p,q)$-elliptic systems in divergence form, 2017 |
[DOI] |
| , and , Globally Lipschitz minimizers for variational problems with linear growth (2017), in: ESAIM: COCV |
[DOI] |
| , and , Homogenization of a stationary flow of an electrorheological fluid (2017), in: Annali di Matematica Pura ed Applicata, 196:3(1185--1202) |
[DOI] |
| and , Internal flows of incompressible fluids subject to stick-slip boundary conditions (2017), in: Vietnam Journal of Mathematics, 45(2017--220) |
[DOI] |
| , On the existence of integrable solutions to nonlinear eliptic systems and variational problems with linear growth, 2017 |
[URL] |
| , , and , 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) |
[DOI] [URL] |
| , and , 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) |
[DOI] |
| , , and , PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion (2017), in: Contemporary Mathematics, American Mathematical Society |
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| , and , 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) |
[DOI] |
2016
| , and , A unified theory for some non Newtonian fluids under singular forcing (2016), in: SIAM J. Math. Anal, 48:6(4241--4267) |
[DOI] |
| , , and , Analysis of a viscosity model for concentrated polymers (2016), in: Mathematical Models and Methods in Applied Sciences (M3AS), 26:8(1599–1648) |
[DOI] |
| and , Existence of very weak solutions to elliptic systems of p-Laplacian type (2016), in: Calc. Var. Partial Differential Equations, 55:3(55:52) |
[DOI] |
| , and , Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems (2016), in: Anal. PDE, 9:5(1115--1151) |
[DOI] |
| and , 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 |
[DOI] |
| , and , Systems describing electrothermal effects with p(x)-Laplacian like structure for discontinuous variable exponents (2016), in: SIAM J. Math. Anal.,, 48:5(3496--3514) |
[DOI] |
2015
| , and , 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) |
[DOI] |
| , and , Analysis and approximation of a strain-limiting nonlinear elastic model (2015), in: Mathematics and Mechanics of Solids, 20:1(92–118) |
[DOI] |
| , , and , 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) |
[DOI] |
| and , 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) |
[DOI] |
| , and , Old and new results in regularity theory for diagonal elliptic systems via blow up techniques (2015), in: J. Differential Equations, 259:11(6528--6572) |
[DOI] |
| and , 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) |
[DOI] |
| , and , 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) |
[DOI] |
| , and , 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) |
[DOI] |
2014
| , and , Everywhere $C^\alpha$-estimates for a class of nonlinear elliptic systems with critical growth (2014), in: Advances in Calculus of Variations, 7:2(139--204) |
[DOI] |
| and , 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) |
[DOI] |
| , , and , On elastic solids with limiting small strain: modelling and analysis (2014), in: EMS Surveys in Mathematical Sciences, 1:2(283–332) |
[DOI] |
| , and , On the Regularity of Two-Dimensional Unsteady Flows of Heat-Conducting Generalized Newtonian Fluids (2014), in: Nonlinear Analysis: Real World Applications, 19(89--104) |
[DOI] |
2013
| , and , 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) |
[DOI] |
| , and , 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) |
[DOI] |
| and , On Existence analysis of steady flows of generalized Newtonian fluids with concentration dependent power--law index (2013), in: JMAA, 402:1(157--166) |
[DOI] |
| , and , On existence of a classical solution to a generalized Kelvin-Voigt model (2013), in: Pacific J. of Math., 262:1(11--33) |
[DOI] |
2012
| , and , Existence and compactness for weak solutions to Bellman systems with critical growth (2012), in: Discrete and Continuous Dynamical Systems - Series B, 17:6(1729--1750) |
[DOI] [URL] |
| , On continuity properties of monotone operators beyond the natural domain of definition (2012), in: Manuscripta Mathematica, 138:3-4(287--298) |
[DOI] [URL] |
| , , , and , On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph, in: Mathematical Aspects of Fluid Mechanics, pages 23--51, Cambridge University Press, 2012 |
[URL] |
| , and , On Kelvin-Voigt model and its generalizations (2012), in: Evolution Equations and Control Theory, 1:1(17-42) |
[DOI] [URL] |
| , , and , On Unsteady Flows of Implicitly Constituted Incompressible Fluids (2012), in: SIAM J. Math. Anal., 44:4(2756--2801) |
[DOI] |
| and , {$\mathcal{C}^{\alpha}$}-regularity for a class of non-diagonal elliptic systems with {$p$}-growth (2012), in: Calc. Var. Partial Differential Equations, 43:3(441--462) |
[DOI] [URL] |
2011
| , and , An $L^2$-maximal regularity result for the evolutionary Stokes-Fourier system (2011), in: Applicable Analysis, 90:1(31--45) |
[DOI] [URL] |
| , and , On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions (2011), in: Comment. Math. Univ. Carolin., 52:1(89--114) |
[URL] |
| , and , On Hausdorff Dimension of Blow-Up Times Relevant to Weak Solution of Generalized Navier-Stokes Fluids, pages 116--129, Gakuto International Series, Mathematical Sciences and Applications, volume 35, 2011 |
[URL] |
| and , On nonlinear elliptic Bellman systems for a class of stochastic differential games in arbitrary dimension (2011), in: Mathematical Models and Methods in Applied Sciences, 21:1(215--240) |
[DOI] [URL] |
| , , and , On scalar hyperbolic laws with discontinuous flux (2011), in: Mathematical Models and Methods in Applied Sciences, 21:1(89--113) |
[DOI] [URL] |
| , and , On solvability of a non-linear heat equation with a non-integrable convective term and data involving measures (2011), in: Nonlinear Analysis: Real World Applications, 12:1(571--591) |
[DOI] [URL] |
| , and , On The Need For Compatibility Of Thermal And Mechanical Data In Flow Problems (2011), in: International Journal of Engineering Science, 49:7(537--543) |
[DOI] [URL] |
| and , Planar flows of incompressible heat-conducting shear-thinning fluids- Existence analysis (2011), in: Applications of Mathematics, 56:1(7--38) |
[DOI] [URL] |
2010
| , , and , On the motion of incompressible inhomogeneous Euler-Korteweg fluids (2010), in: Discrete and Continuous Dynamical Systems - Series S, 3:3(497-515) |
[DOI] [URL] |
| , , and , On uniqueness and time regularity of flows of power-law like non-Newtonian fluids (2010), in: Mathematical Methods in the Applied Sciences, 33:16(1995-2010) |
[DOI] [URL] |
| , and , Unsteady flows of fluids with pressure dependent viscosity in unbounded domains (2010), in: Nonlinear Analysis: Real World Applications, 11:5(3968-3983) |
[DOI] |
2009
| , and , A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients (2009), in: Nonlinear Analysis: Real World Applications, 10:2(992--1015) |
[DOI] [URL] |
| and , A note on the dimension of the global attractor for an abstract semilinear hyperbolic problem (2009), in: Applied Mathematics Letters, 22:7(1025--1028) |
[DOI] [URL] |
| , and , 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) |
[DOI] [URL] |
| and , 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) |
[DOI] [URL] |
| , and , 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) |
[DOI] [URL] |
| , and , 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 |
[URL] |
| , and , On boundary regularity for the stress in problems of linearized elasto-plasticity (2009), in: International Journal of Advances in Engineering Sciences and Applied Mathematics, 1:4(141-156) |
[DOI] [URL] |
| , , and , On steady flows of incompressible fluids with implicit power-law-like rheology (2009), in: Advances in Calculus of Variations, 2:2(109--136) |
[DOI] [URL] |
| , , and , Shape Optimization for Navier-Stokes Equations with Algebraic Turbulence Model: Existence Analysis (2009), in: Applied Mathematics and Optimization, 60:2(185-212) |
[DOI] [URL] |
| , , and , 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) |
[DOI] [URL] |
2008
| and , 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) |
[DOI] [URL] |
2007
| , and , Navier's slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity (2007), in: Indiana Univ. Math. J., 56:1(51--85) |
[DOI] |