Keywords:
- Anelastic approximation
- bounded divergence of the velocity
- Compressible fluid
- Compressible fluids
- compressible fluid
- Compressible Navier-Stokes-Fourier system
- Euler system
- Existence of solution
- generalized Newtonian fluids
- Global existence
- global--in--time existence
- Heat conducting fluid
- inhomogeneous boundary conditions
- inhomogeneous Euler fluid
- isentropic solutions
- Korteweg fluid
- Korteweg stress
- local-in-time well-posedness
- Low Froude number
- Low Mach number
- low Mach number limit
- Navier-Stokes-Fourier system
- Navier’s slip boundary conditions
- Navier–Stokes equations
- Newtonian fluids
- non-Newtonian fluid
- Oberbeck-Boussinesq ap- proximation
- positive density.
- power law fluid
- rarefaction wave
- Riemann problem
- Singular limits
- smooth solution
- stress diffusion
- viscoelastic fluid
- weak solution
- weak solutions
Publications of Feireisl, Eduard
2020
2019
| , and , On a class of compressible viscoelastic rate-type fluids with stress--diffusion (2019), in: Nonlinearity, 32:12(4665--4681) |
[DOI] |
2017
| and , Stationary solutions to the compressible Navier-Stokes system with general boundary conditions, 2017 |
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| , and , 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) |
[DOI] |
2016
| , and , 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) |
[DOI] |
| , and , On PDE analysis of flows of quasi-incompressible fluids (2016), in: Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 96:4(491–508) |
[DOI] |
| , , and , On the low Mach number limit of compressible flows in exterior moving domains (2016), in: Journal of Evolution Equations, 16:3(705–722) |
[DOI] |
2015
| , and , Global weak solutions to a class of non-Newtonian compressible fluids (2015), in: Math. Methods Appl. Sci., 38:16(3482–3494) |
[DOI] |
| and , Homogenization of the stationary compressible Navier-Stokes equations in domains with tiny holes (2015), in: Journal of Mathematical Fluid Mechanics, 17:2(381–392) |
[DOI] |
| , and , 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) |
[DOI] |
| , and , Stability of the isentropic Riemann solutions of the full multidimensional Euler system (2015), in: SIAM Journal on Mathematical Analysis, 47:3(2416–2425) |
[DOI] |
| and , Uniqueness of rarefaction waves in multidimensional compressible Euler system (2015), in: Journal of Hyperbolic Differential Equations, 12:3(489–499) |
[DOI] |
2014
| , and , A regularity criterion for the weak solutions to the Navier–Stokes–Fourier system (2014), in: Archive for Rational Mechanics and Analysis, 212:1(219–239) |
[DOI] |
| and , Multiple scales and singular limits for compressible rotating fluids with general initial data (2014), in: Communications in Partial Differential Equations, 39:6(1104–1127) |
[DOI] |
| , Relative entropies, dissipative solutions, and singular limits of complete fluid systems, in: Hyperbolic Problems: Theory, Numerics, Applications, pages 11--28, AIMS, Springfield, USA, 2014 |
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| , and , Rotating compressible fluids under strong stratification (2014), in: Nonlinear Analysis: Real World Applications, 19(11–18) |
[DOI] |
| and , Scale interactions in compressible rotating fluids (2014), in: Annali di Matematica Pura ed Applicata, 193:6(1703–1725) |
[DOI] |
2013
| , Mathematical analysis of fluids in motion: From well-posedness to model reduction (2013), in: Revista Matemática Complutense, 26:2(299–340) |
[DOI] |
| , Scaling and singular limits in the equations of continuum fluid mechanics (2013), in: Methods and Applications of Analysis, 20:2(115–140) |
[DOI] |
| , , and , 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) |
[DOI] |
2012
| , Complete fluid systems, the state of art, 2012 |
[URL] |
| , , and , Time-Periodic solutions to the full Navier–Stokes–Fourier system (2012), in: Archive for Rational Mechanics and Analysis, 204:3(745–786) |
[DOI] [URL] |
2011
| , and , Convergence of a Brinkman-type penalization for compressible fluid flows (2011), in: Journal of Differential Equations, 250:1(596--606) |
[DOI] [URL] |
| , and , On a non-isothermal model for nematic liquid crystals (2011), in: Nonlinearity, 24:1(243-257) |
[DOI] [URL] |
2010
| , , and , Analysis of a phase-field model for two-phase compressible fluids (2010), in: Mathematical Models and Methods in Applied Sciences, 20:7(1129-1160) |
[DOI] [URL] |
| , and , Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions (2010), in: Archive for Rational Mechanics and Analysis, 197:1(117--138) |
[DOI] [URL] |
| , and , Homogenization and singular limits for the complete Navier-Stokes-Fourier system (2010), in: Journal de Mathématiques Pures et Appliquées, 94(33-57) |
[DOI] [URL] |
| , and , 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) |
[URL] |
| , and , 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) |
[DOI] [URL] |
| , , 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] |
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 , Existence of solutions to a phase transition model with microscopic movements (2009), in: Mathematical Methods in the Applied Sciences, 32:11(1345--1369) |
[URL] |
| and , New perspectives in fluid dynamics: Mathematical analysis of a model proposed by Howard Brenner, pages 153-180, Birkauser, Basel, 2009 |
[URL] |
| and , Singular Limits in Thermodynamics of Viscous Fluids, Birkhäuser Basel, Advances in Mathematical Fluid Mechanics, 2009 |
[DOI] [URL] |
| and , 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) |
2008
| , An area-preserving crystalline curvature flow equation, in: Topics in mathematical modeling, pages 169-213, MATFYZPRESS, Charles University in Prague, 2008 |
| , , and , Anelastic approximation as a singular limit of the compressible Navier-Stokes system (2008), in: Communications in Partial Differential Equations, 33:1-3(157--176) |
[DOI] [URL] |
| , and , 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) |
[URL] |
| , and , 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) |
[URL] |
| , and , Multicomponent reactive flows: global-in-time existence for large data (2008), in: Commun. Pure Appl. Anal., 7:5(1017--1047) |
[URL] |
| , and , Navier´s slip and incompressible limits in domains with variable bottoms (2008), in: Discrete and Continuous Dynamical Systems - Series S, 1:3(427-460) |
[DOI] [URL] |
| and , 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 , On the asymptotic limit of flows past a ribbed boundary (2008), in: J. Math. Fluid Mech., 10:4(554--568) |
[URL] |
| , , and , On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries (2008), in: J. Differential Equations, 244:11(2890--2908) |
[URL] |
| , and , On the motion of several rigid bodies in an incompressible non-Newtonian fluid (2008), in: Nonlinearity, 21:6(1349--1366) |
[URL] |
| , Shape derivative of minimum potential energy: abstract theory and applications, in: Topics in mathematical modeling, pages 1-92, MATFYZPRESS, Charles University in Prague, 2008 |
2006
| and , On the Navier-Stokes equations with temperature-dependent transport coefficients (2006), in: Differ. Equ. Nonlinear Mech.(Art. ID 90616, 14 pp. (electronic)) |