Edit Profile (opens in new tab) Málek, Josef Co-Author Distance Author ID: malek.josef Published as: Málek, Josef; Málek, J. External Links: MGP · ORCID Videos: carmin.tv Documents Indexed: 129 Publications since 1988, including 2 Books and 4 Additional arXiv Preprints 11 Contributions as Editor Co-Authors: 80 Co-Authors with 134 Joint Publications 1,764 Co-Co-Authors all top 5 Co-Authors 3 single-authored 41 Bulíček, Miroslav 38 Rajagopal, Kumbakonam Ramamani 15 Nečas, Jindřich 12 Feireisl, Eduard 11 Hron, Jaroslav 10 Frehse, Jens 9 Růžička, Michael 8 Průša, Vít 7 Süli, Endre E. 6 Kaplický, Petr 6 Rokyta, Mirko 6 Souček, Ondřej 6 Stará, Jana 5 Gwiazda, Piotr 5 Pražák, Dalibor 5 Steinhauer, Mark 4 Heida, Martin 4 Los, Tomáš 4 Novotný, Antonín 4 Švihlová, Helena 4 Świerczewska-Gwiazda, Agnieszka 3 Goj, Sonja 3 John, Oldřich 3 Rajagopal, Keshava 3 Šverák, Vladimír 3 Tůma, Karel 3 Žabenský, Josef 2 Abbatiello, Anna 2 Bathory, Michal 2 Blechta, Jan 2 Galdi, Giovanni Paolo 2 Haslinger, Jaroslav 2 Hlaváček, Ivan 2 Kratochvil, Jan 2 Kufner, Alois 2 Lu, Yong 2 Maringová, Erika 2 Nečasová, Šárka 2 Pokorný, Milan 2 Stebel, Jan 1 Beck, Lisa 1 Bellomo, Nicola 1 Bothe, Dieter 1 Burczak, Jan 1 Chabiniok, Radomír 1 Consiglieri, Luisa 1 Diening, Lars 1 Fara, J. 1 Franta, Michal 1 Gazca-Orozco, P. A. 1 Hruška, David 1 Janečka, Adam 1 Jarolímová, Alena 1 Jarušek, Jiří 1 Klouček, Petr 1 Krejčí, Pavel 1 Kulvait, Vojtěch 1 Le Roux, Christiaan 1 Leonardi, Salvatore 1 Lewandowski, Roger 1 Luckhaus, Stephan 1 Majdoub, Mohamed 1 Minakowski, Piotr 1 Mingione, Giuseppe 1 Nikolaevich Shilkin, Timofei 1 Orava, Vít 1 Padula, Mariarosaria 1 Rodriguez, Casey 1 Roubíček, Tomáš 1 Schonbek, Maria Elena 1 Shelukhin, Vladimir 1 Shvydkoy, Roman V. 1 Srinivasa, Arun R. 1 Stará, A. 1 Strakoš, Zdeněk 1 Strará, J. 1 Straškraba, Ivan 1 Suková, Petra 1 Świerczewska, Agnieszka 1 Thäter, Gudrun 1 Tierra, Giordano 1 Turek, Stefan 1 Vohralík, Martin 1 Walton, Jay R. all top 5 Serials 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 International Journal of Engineering Science 9 Nonlinear Analysis. Real World Applications 6 SIAM Journal on Mathematical Analysis 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Applications of Mathematics 5 Discrete and Continuous Dynamical Systems. Series S 3 Applied Mathematics Letters 3 Communications in Partial Differential Equations 3 Pitman Research Notes in Mathematics Series 2 Acta Mechanica 2 Archive for Rational Mechanics and Analysis 2 Computers & Mathematics with Applications 2 Nonlinearity 2 Commentationes Mathematicae Universitatis Carolinae 2 Czechoslovak Mathematical Journal 2 Journal of Differential Equations 2 Mathematics and Computers in Simulation 2 Mathematica Bohemica 2 Calculus of Variations and Partial Differential Equations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Mathematical Fluid Mechanics 2 Jindřich Nečas Center for Mathematical Modeling Lecture Notes 1 Applicable Analysis 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Aplikace Matematiky 1 Applied Mathematics and Optimization 1 Control and Cybernetics 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Differential and Integral Equations 1 Journal of Elasticity 1 Pokroky Matematiky, Fyziky & Astronomie 1 Journal of Mathematical Sciences (New York) 1 ETNA. Electronic Transactions on Numerical Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Communications on Pure and Applied Analysis 1 Differential Equations & Nonlinear Mechanics 1 Applied Mathematics and Mathematical Computation 1 Advances in Calculus of Variations 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis 1 EMS Surveys in Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications 1 SIAM Spotlights 1 Nečas Center Series all top 5 Fields 109 Partial differential equations (35-XX) 109 Fluid mechanics (76-XX) 23 Mechanics of deformable solids (74-XX) 11 General and overarching topics; collections (00-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Functional analysis (46-XX) 2 Ordinary differential equations (34-XX) 1 Measure and integration (28-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 2,695 times in 1,505 Documents Cited by ▼ Year ▼ Weak and measure-valued solutions to evolutionary PDEs. Zbl 0851.35002 Nečas, J.; Málek, J.; Rokyta, M.; Růžička, M. 479 1996 On axially symmetric flows in \(\mathbb{R}^3\). Zbl 0943.35066 Leonardi, S.; Málek, J.; Nečas, J.; Pokorný, M. 96 1999 Mathematical issues concerning the Navier-Stokes equations and some of its generalizations. Zbl 1095.35027 Málek, J.; Rajagopal, K. R. 85 2005 On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\). Zbl 1021.35085 Málek, J.; Nečas, J.; Růžička, M. 81 2001 On analysis of steady flows of fluids with shear-dependent viscosity based on the Lipschitz truncation method. Zbl 1050.35080 Frehse, Jens; Málek, Josef; Steinhauer, Mark 79 2003 Existence and regularity of solutions and the stability of the rest state for fluids with shear dependent viscosity. Zbl 0838.76005 Málek, J.; Rajagopal, K. R.; Růžička, M. 76 1995 Large time behavior via the method of \(\ell\)-trajectories. Zbl 1187.37113 Málek, Josef; Pražák, Dalibor 68 2002 Navier’s slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity. Zbl 1129.35055 Bulíček, M.; Málek, J.; Rajagopal, K. R. 68 2007 On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications. Zbl 1143.35037 Diening, Lars; Málek, Josef; Steinhauer, Mark 66 2008 A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients. Zbl 1167.76316 Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef 65 2009 On the non-Newtonian incompressible fluids. Zbl 0787.35067 Málek, Josef; Nečas, Jindřich; Růžička, Michael 60 1993 On unsteady flows of implicitly constituted incompressible fluids. Zbl 1256.35074 Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 60 2012 Global analysis of the flows of fluids with pressure-dependent viscosities. Zbl 1022.76011 Málek, Josef; Nečas, Jindřich; Rajagopal, K. R. 55 2002 On the Navier-Stokes equations with temperature-dependent transport coefficients. Zbl 1133.35419 Feireisl, Eduard; Málek, Josef 53 2006 On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework. Zbl 1295.76002 Heida, Martin; Málek, Josef; Rajagopal, K. R. 51 2012 Simple flows of fluids with pressure-dependent viscosities. Zbl 1052.76017 Hron, J.; Málek, J.; Rajagopal, K. R. 50 2001 Mathematical analysis of unsteady flows of fluids with pressure, shear-rate, and temperature dependent material moduli that slip at solid boundaries. Zbl 1195.35239 Bulíček, M.; Málek, J.; Rajagopal, K. R. 50 2009 A finite-dimensional attractor for three-dimensional flow of incompressible fluids. Zbl 0851.35107 Málek, Josef; Nečas, Jindřich 48 1996 An existence result for fluids with shear dependent viscosity – steady flows. Zbl 0902.35089 Frehse, Jens; Málek, Josef; Steinhauer, Mark 45 1997 On steady flows of fluids with pressure- and shear-dependent viscosities. Zbl 1145.76311 Franta, M.; Málek, J.; Rajagopal, K. R. 38 2005 \(C^{1,\alpha}\)-solutions to a class of nonlinear fluids in two dimensions-stationary Dirichlet problem. Zbl 0978.35046 Kaplický, P.; Málek, J.; Stará, J. 36 1999 On steady flows of incompressible fluids with implicit power-law-like rheology. Zbl 1233.35164 Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 33 2009 Preconditioning and the conjugate gradient method in the context of solving PDEs. Zbl 1396.65002 Málek, Josef; Strakoš, Zdeněk 32 2015 Herschel-Bulkley fluids: existence and regularity of steady flows. Zbl 1098.76008 Málek, J.; Růžička, M.; Shelukhin, V. V. 30 2005 On compressible Korteweg fluid-like materials. Zbl 1231.76248 Heida, Martin; Málek, Josef 29 2010 On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion. Zbl 1432.76075 Blechta, Jan; Málek, Josef; Rajagopal, K. R. 28 2020 On elastic solids with limiting small strain: modelling and analysis. Zbl 1314.35184 Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Süli, Endre 28 2014 Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies. Zbl 1329.35302 Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Walton, Jay R. 24 2015 On a Stokes-like system for mixtures of fluids. Zbl 1084.35057 Frehse, Jens; Goj, Sonja; Málek, Josef 22 2005 On Kelvin-Voigt model and its generalizations. Zbl 1371.74067 Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R. 22 2012 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph. Zbl 1296.35137 Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Rajagopal, Kumbakonam R.; Świerczewska-Gwiazda, Agnieszka 22 2012 Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities. Zbl 1205.76159 Hron, J.; Málek, J.; Nečas, J.; Rajagopal, K. R. 21 2003 Global weak solutions to a class of non-Newtonian compressible fluids. Zbl 1335.35180 Feireisl, E.; Liao, X.; Málek, J. 20 2015 Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion. Zbl 1464.35207 Bathory, Michal; Bulíček, Miroslav; Málek, Josef 20 2021 Generalizations of the Navier-Stokes fluid from a new perspective. Zbl 1231.76073 Málek, J.; Průša, V.; Rajagopal, K. R. 19 2010 On the development and generalizations of Allen-Cahn and Stefan equations within a thermodynamic framework. Zbl 1295.35360 Heida, Martin; Málek, Josef; Rajagopal, K. R. 18 2012 Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities. Zbl 0991.35066 Kaplický, P.; Málek, J.; Strará, J. 18 2002 Global existence of solutions for flows of fluids with pressure and shear dependent viscosities. Zbl 1062.76011 Málek, J.; Nečas, J.; Rajagopal, K. R. 18 2002 Analysis and approximation of a strain-limiting nonlinear elastic model. Zbl 1327.74032 Bulíček, M.; Málek, J.; Süli, E. 18 2015 On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth. Zbl 1375.35164 Beck, Lisa; Bulíček, Miroslav; Málek, Josef; Süli, Endre 18 2017 Compressible generalized Newtonian fluids. Zbl 1273.76025 Málek, J.; Rajagopal, K. R. 17 2010 Flows of incompressible fluids subject to Navier’s slip on the boundary. Zbl 1165.76308 Hron, J.; Le Roux, C.; Málek, J.; Rajagopal, K. R. 17 2008 On unsteady internal flows of Bingham fluids subject to threshold slip on the impermeable boundary. Zbl 1338.35352 Bulíček, Miroslav; Málek, Josef 17 2016 On the existence and regularity of solutions for degenerate power-law fluids. Zbl 1200.76020 Málek, J.; Pražák, D.; Steinhauer, M. 16 2006 Large data existence result for unsteady flows of inhomogeneous shear-thickening heat-conducting incompressible fluids. Zbl 1213.35348 Frehse, Jens; Málek, Josef; Růžička, Michael 15 2010 Large data analysis for Kolmogorov’s two-equation model of turbulence. Zbl 1448.76094 Bulíček, Miroslav; Málek, Josef 15 2019 On scalar hyperbolic conservation laws with a discontinuous flux. Zbl 1217.35117 Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 15 2011 A uniqueness result for a model for mixtures in the absence of external forces and interaction momentum. Zbl 1099.35079 Frehse, Jens; Goj, Sonja; Málek, Josef 15 2005 On existence results for fluids with shear dependent viscosity. – Unsteady flows. Zbl 0935.35026 Frehse, J.; Málek, J.; Steinhauer, M. 14 2000 On PDE analysis of flows of quasi-incompressible fluids. Zbl 07775036 Feireisl, Eduard; Lu, Yong; Málek, Josef 14 2016 A thermodynamic framework for a mixture of two liquids. Zbl 1154.76311 Málek, J.; Rajagopal, K. R. 14 2008 Localization of the \(W^{-1,q}\) norm for local a posteriori efficiency. Zbl 07199497 Blechta, Jan; Málek, Josef; Vohralík, Martin 13 2020 Anelastic approximation as a singular limit of the compressible Navier-Stokes system. Zbl 1146.35073 Feireisl, Eduard; Málek, Josef; Novotný, Antonín; Straškraba, Ivan 13 2008 Incompressible rate-type fluids with pressure and shear-rate dependent material moduli. Zbl 1112.76005 Málek, J.; Rajagopal, K. R. 13 2007 Unsteady flows of fluids with pressure dependent viscosity in unbounded domains. Zbl 1201.35156 Bulíček, Miroslav; Majdoub, Mohamed; Málek, Josef 12 2010 PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion. Zbl 1404.35346 Bulíček, Miroslav; Málek, Josef; Průša, Vít; Süli, Endre 12 2018 On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions. Zbl 1240.35378 Bulíček, M.; Lewandowski, R.; Málek, J. 11 2011 Fractal dimension, attractors, and the Boussinesq approximation in three dimensions. Zbl 0815.35084 Málek, Josef; Růžička, Michael; Thäter, Gudrun 10 1994 Full regularity of weak solutions to a class of nonlinear fluids in two dimensions—stationary, periodic problem. Zbl 0946.76006 Kaplický, P.; Málek, J.; Stará, J. 10 1997 On the motion of incompressible inhomogeneous Euler-Korteweg fluids. Zbl 1210.76012 Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef; Shvydkoy, Roman 10 2010 Mathematical properties of flows of incompressible power-law-like fluids that are described by implicit constitutive relations. Zbl 1182.35182 Málek, Josef 10 2008 The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies. Zbl 1415.74011 Kulvait, Vojtěch; Málek, Josef; Rajagopal, K. R. 10 2019 A continuum model of heterogeneous catalysis: thermodynamic framework for multicomponent bulk and surface phenomena coupled by sorption. Zbl 1425.74186 Souček, Ondřej; Orava, Vít; Málek, Josef; Bothe, Dieter 10 2019 Mathematical results concerning unsteady flows of chemically reacting incompressible fluids. Zbl 1182.35184 Bulíček, Miroslav; Málek, Josef; Rajagopal, Kumbakonam 9 2009 A numerical investigation of flows of shear-thinning fluids with applications to blood rheology. Zbl 0974.76046 Hron, J.; Málek, J.; Turek, S. 9 2000 On global existence of smooth two-dimensional steady flows for a class of non-Newtonian fluids under various boundary conditions. Zbl 0953.35120 Kaplický, Petr; Málek, Josef; Stará, Jana 9 1999 Shape optimization in problems governed by generalised Navier-Stokes equations: existence analysis. Zbl 1167.49328 Haslinger, Jaroslav; Málek, Josef; Stebel, Jan 9 2005 Internal flows of incompressible fluids subject to stick-slip boundary conditions. Zbl 1365.35117 Bulíček, Miroslav; Málek, Josef 9 2017 Finite fractal dimension of the global attractor for a class of non-Newtonian fluids. Zbl 0952.35010 Málek, J.; Pražák, D. 8 2000 Variational inequality for a viscous drum vibrating in the presence of an obstacle. Zbl 0876.35078 Jarušek, J.; Málek, J.; Nečas, J.; Šverák, V. 8 1992 Measure-valued solutions and asymptotic behavior of a multipolar model of a boundary layer. Zbl 0774.76008 Málek, Josef; Nečas, Jindřich; Novotný, Antonín 8 1992 Existence of global weak solutions to implicitly constituted kinetic models of incompressible homogeneous dilute polymers. Zbl 1277.35118 Bulíček, Miroslav; Málek, Josef; Süli, Endre 8 2013 Problems due to the no-slip boundary in incompressible fluid dynamics. Zbl 1080.35070 Frehse, Jens; Málek, Josef 8 2003 On flows of an incompressible fluid with a discontinuous power-law-like rheology. Zbl 1122.76010 Gwiazda, Piotr; Málek, Josef; Świerczewska, Agnieszka 8 2007 Fluids with pressure-dependent viscosity: partial regularity of steady flows. Zbl 1101.76021 Málek, J.; Mingione, G.; Stará, A. 8 2005 Determination of pressure data from velocity data with a view toward its application in cardiovascular mechanics. I: Theoretical considerations. Zbl 1423.76531 Švihlová, Helena; Hron, Jaroslav; Málek, Josef; Rajagopal, K. R.; Rajagopal, Keshava 8 2016 Navier’s slip and incompressible limits in domains with variable bottoms. Zbl 1159.35054 Feireisl, Eduard; Málek, Josef; Novotný, Antonín 8 2008 An \(L^{2}\)-maximal regularity result for the evolutionary Stokes-Fourier system. Zbl 1209.35102 Bulíček, Miroslav; Kaplický, Petr; Málek, Josef 7 2011 Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling \(\nu (p, \cdot ) \to + \infty \) as \(p \to +\infty \). Zbl 1224.35311 Bulíček, M.; Málek, J.; Rajagopal, K. R. 7 2009 On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures. Zbl 1302.74003 Souček, Ondřej; Průša, Vít; Málek, Josef; Rajagopal, K. R. 7 2014 On a class of compressible viscoelastic rate-type fluids with stress-diffusion. Zbl 1423.76032 Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef 7 2019 Boundary regularity results for models of elasto-perfect plasticity. Zbl 1092.74523 Frehse, Jens; Málek, Josef 6 1999 On solvability of a non-linear heat equation with a non-integrable convective term and data involving measures. Zbl 1202.35113 Bulíček, Miroslav; Consiglieri, Luisa; Málek, Josef 6 2011 On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids. Zbl 07228661 Souček, Ondřej; Heida, Martin; Málek, Josef 6 2020 On generalized Stokes’ and Brinkman’s equations with a pressure- and shear-dependent viscosity and drag coefficient. Zbl 1330.35031 Bulíček, Miroslav; Málek, Josef; Žabenský, Josef 6 2015 A generalization of the Darcy-Forchheimer equation involving an implicit, pressure-dependent relation between the drag force and the velocity. Zbl 1308.35198 Bulíček, Miroslav; Málek, Josef; Žabenský, Josef 6 2015 On possible singular solutions to the Navier-Stokes equations. Zbl 0922.35126 Málek, Josef; Nečas, Jindřich; Pokorný, Milan; Schonbek, Maria E. 5 1999 On the regularity of two-dimensional unsteady flows of heat-conducting generalized Newtonian fluids. Zbl 1367.76016 Bulíček, Miroslav; Málek, Josef; Nikolaevich Shilkin, Timofei 5 2014 On incompressible heat-conducting viscoelastic rate-type fluids with stress-diffusion and purely spherical elastic response. Zbl 1475.35262 Bulíček, Miroslav; Málek, Josef; Průša, Vít; Süli, Endre 5 2021 On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Zbl 1492.35152 Bulíček, Miroslav; Maringová, Erika; Málek, Josef 5 2021 A Stokes-like system for mixtures. Zbl 1024.76041 Frehse, Jens; Goj, Sonja; Málek, Josef 4 2002 Stress-diffusive regularizations of non-dissipative rate-type materials. Zbl 1369.35089 Burczak, Jan; Málek, Josef; Minakowski, Piotr 4 2017 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. Zbl 1428.76017 Janečka, Adam; Málek, Josef; Pruša, Vít; Tierra, Giordano 4 2019 Three-dimensional flows of incompressible Navier-Stokes fluids in tubes containing a sinus, with varying slip conditions at the wall. Zbl 1517.76019 Chabiniok, R.; Hron, J.; Jarolímová, A.; Málek, J.; Rajagopal, K. R.; Rajagopal, K.; Švihlová, H.; Tůma, K. 4 2022 Further remarks on simple flows of fluids with pressure-dependent viscosities. Zbl 1206.35207 Hron, Jaroslav; Málek, Josef; Průša, Vít; Rajagopal, K. R. 3 2011 Continuum thermodynamics and nonlinear partial differential equations. Zbl 1213.80002 Bellomo, N.; Málek, J. 3 2011 A note on derivative estimates for a Hopf solution to the Navier-Stokes system in a three-dimensional cube. Zbl 0842.35077 Málek, J.; Padula, M.; Růžička, M. 3 1995 Qualitative properties of solutions to partial differential equations. Dedicated to the memory of Professor Tetsuro Miyakawa. In part the lecture notes of the international summer school EVEQ 2008, Prague, Czech Republic, June 16–20, 2008. Zbl 1216.35003 3 2009 Global well-posedness for two-dimensional flows of viscoelastic rate-type fluids with stress diffusion. Zbl 1490.76014 Bulíček, Miroslav; Málek, Josef; Rodriguez, Casey 3 2022 Determination of pressure data from velocity data with a view towards its application in cardiovascular mechanics. II: A study of aortic valve stenosis. Zbl 1423.76533 Švihlová, H.; Hron, J.; Málek, J.; Rajagopal, K. R.; Rajagopal, Keshava 3 2017 Coupling the Navier-Stokes-Fourier equations with the Johnson-Segalman stress-diffusive viscoelastic model: global-in-time and large-data analysis. Zbl 07854440 Bathory, Michal; Bulíček, Miroslav; Málek, Josef 1 2024 On evolutionary problems with a-priori bounded gradients. Zbl 1518.35450 Bulíček, Miroslav; Hruška, David; Málek, Josef 2 2023 Three-dimensional flows of incompressible Navier-Stokes fluids in tubes containing a sinus, with varying slip conditions at the wall. Zbl 1517.76019 Chabiniok, R.; Hron, J.; Jarolímová, A.; Málek, J.; Rajagopal, K. R.; Rajagopal, K.; Švihlová, H.; Tůma, K. 4 2022 Global well-posedness for two-dimensional flows of viscoelastic rate-type fluids with stress diffusion. Zbl 1490.76014 Bulíček, Miroslav; Málek, Josef; Rodriguez, Casey 3 2022 On planar flows of viscoelastic fluids of Giesekus type. Zbl 1504.35298 Bulíček, Miroslav; Los, Tomáš; Lu, Yong; Málek, Josef 2 2022 Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion. Zbl 1464.35207 Bathory, Michal; Bulíček, Miroslav; Málek, Josef 20 2021 On incompressible heat-conducting viscoelastic rate-type fluids with stress-diffusion and purely spherical elastic response. Zbl 1475.35262 Bulíček, Miroslav; Málek, Josef; Průša, Vít; Süli, Endre 5 2021 On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Zbl 1492.35152 Bulíček, Miroslav; Maringová, Erika; Málek, Josef 5 2021 On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion. Zbl 1432.76075 Blechta, Jan; Málek, Josef; Rajagopal, K. R. 28 2020 Localization of the \(W^{-1,q}\) norm for local a posteriori efficiency. Zbl 07199497 Blechta, Jan; Málek, Josef; Vohralík, Martin 13 2020 On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids. Zbl 07228661 Souček, Ondřej; Heida, Martin; Málek, Josef 6 2020 Large data analysis for Kolmogorov’s two-equation model of turbulence. Zbl 1448.76094 Bulíček, Miroslav; Málek, Josef 15 2019 The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies. Zbl 1415.74011 Kulvait, Vojtěch; Málek, Josef; Rajagopal, K. R. 10 2019 A continuum model of heterogeneous catalysis: thermodynamic framework for multicomponent bulk and surface phenomena coupled by sorption. Zbl 1425.74186 Souček, Ondřej; Orava, Vít; Málek, Josef; Bothe, Dieter 10 2019 On a class of compressible viscoelastic rate-type fluids with stress-diffusion. Zbl 1423.76032 Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef 7 2019 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. Zbl 1428.76017 Janečka, Adam; Málek, Josef; Pruša, Vít; Tierra, Giordano 4 2019 Three-dimensional flows of pore pressure-activated Bingham fluids. Zbl 1425.76015 Abbatiello, Anna; Los, Tomáš; Málek, Josef; Souček, Ondřej 2 2019 PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion. Zbl 1404.35346 Bulíček, Miroslav; Málek, Josef; Průša, Vít; Süli, Endre 12 2018 On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth. Zbl 1375.35164 Beck, Lisa; Bulíček, Miroslav; Málek, Josef; Süli, Endre 18 2017 Internal flows of incompressible fluids subject to stick-slip boundary conditions. Zbl 1365.35117 Bulíček, Miroslav; Málek, Josef 9 2017 Stress-diffusive regularizations of non-dissipative rate-type materials. Zbl 1369.35089 Burczak, Jan; Málek, Josef; Minakowski, Piotr 4 2017 Determination of pressure data from velocity data with a view towards its application in cardiovascular mechanics. II: A study of aortic valve stenosis. Zbl 1423.76533 Švihlová, H.; Hron, J.; Málek, J.; Rajagopal, K. R.; Rajagopal, Keshava 3 2017 Determination of pressure data from velocity data with a view towards its application in cardiovascular mechanics. II: A study of aortic valve stenosis. Zbl 1423.76532 Švihlová, Helena; Hron, Jaroslav; Málek, Josef; Rajagopal, K. R.; Rajagopal, Keshava 2 2017 On unsteady internal flows of Bingham fluids subject to threshold slip on the impermeable boundary. Zbl 1338.35352 Bulíček, Miroslav; Málek, Josef 17 2016 On PDE analysis of flows of quasi-incompressible fluids. Zbl 07775036 Feireisl, Eduard; Lu, Yong; Málek, Josef 14 2016 Determination of pressure data from velocity data with a view toward its application in cardiovascular mechanics. I: Theoretical considerations. Zbl 1423.76531 Švihlová, Helena; Hron, Jaroslav; Málek, Josef; Rajagopal, K. R.; Rajagopal, Keshava 8 2016 Response of a class of mechanical oscillators described by a novel system of differential-algebraic equations. Zbl 1389.34045 Málek, Josef; Rajagopal, Kumbakonam R.; Suková, Petra 1 2016 On power-law fluids with the power-law index proportional to the pressure. Zbl 1457.76024 Málek, J.; Rajagopal, K. R.; Žabenský, J. 1 2016 Preconditioning and the conjugate gradient method in the context of solving PDEs. Zbl 1396.65002 Málek, Josef; Strakoš, Zdeněk 32 2015 Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies. Zbl 1329.35302 Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Walton, Jay R. 24 2015 Global weak solutions to a class of non-Newtonian compressible fluids. Zbl 1335.35180 Feireisl, E.; Liao, X.; Málek, J. 20 2015 Analysis and approximation of a strain-limiting nonlinear elastic model. Zbl 1327.74032 Bulíček, M.; Málek, J.; Süli, E. 18 2015 On generalized Stokes’ and Brinkman’s equations with a pressure- and shear-dependent viscosity and drag coefficient. Zbl 1330.35031 Bulíček, Miroslav; Málek, Josef; Žabenský, Josef 6 2015 A generalization of the Darcy-Forchheimer equation involving an implicit, pressure-dependent relation between the drag force and the velocity. Zbl 1308.35198 Bulíček, Miroslav; Málek, Josef; Žabenský, Josef 6 2015 On elastic solids with limiting small strain: modelling and analysis. Zbl 1314.35184 Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Süli, Endre 28 2014 On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures. Zbl 1302.74003 Souček, Ondřej; Průša, Vít; Málek, Josef; Rajagopal, K. R. 7 2014 On the regularity of two-dimensional unsteady flows of heat-conducting generalized Newtonian fluids. Zbl 1367.76016 Bulíček, Miroslav; Málek, Josef; Nikolaevich Shilkin, Timofei 5 2014 Existence of global weak solutions to implicitly constituted kinetic models of incompressible homogeneous dilute polymers. Zbl 1277.35118 Bulíček, Miroslav; Málek, Josef; Süli, Endre 8 2013 On unsteady flows of implicitly constituted incompressible fluids. Zbl 1256.35074 Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 60 2012 On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework. Zbl 1295.76002 Heida, Martin; Málek, Josef; Rajagopal, K. R. 51 2012 On Kelvin-Voigt model and its generalizations. Zbl 1371.74067 Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R. 22 2012 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph. Zbl 1296.35137 Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Rajagopal, Kumbakonam R.; Świerczewska-Gwiazda, Agnieszka 22 2012 On the development and generalizations of Allen-Cahn and Stefan equations within a thermodynamic framework. Zbl 1295.35360 Heida, Martin; Málek, Josef; Rajagopal, K. R. 18 2012 A thermodynamically compatible rate type fluid to describe the response of asphalt. Zbl 1252.76064 Hron, J.; Kratochvíl, Jan; Málek, J.; Rajagopal, K. R.; Tůma, K. 1 2012 On scalar hyperbolic conservation laws with a discontinuous flux. Zbl 1217.35117 Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 15 2011 On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions. Zbl 1240.35378 Bulíček, M.; Lewandowski, R.; Málek, J. 11 2011 An \(L^{2}\)-maximal regularity result for the evolutionary Stokes-Fourier system. Zbl 1209.35102 Bulíček, Miroslav; Kaplický, Petr; Málek, Josef 7 2011 On solvability of a non-linear heat equation with a non-integrable convective term and data involving measures. Zbl 1202.35113 Bulíček, Miroslav; Consiglieri, Luisa; Málek, Josef 6 2011 Further remarks on simple flows of fluids with pressure-dependent viscosities. Zbl 1206.35207 Hron, Jaroslav; Málek, Josef; Průša, Vít; Rajagopal, K. R. 3 2011 Continuum thermodynamics and nonlinear partial differential equations. Zbl 1213.80002 Bellomo, N.; Málek, J. 3 2011 On compressible Korteweg fluid-like materials. Zbl 1231.76248 Heida, Martin; Málek, Josef 29 2010 Generalizations of the Navier-Stokes fluid from a new perspective. Zbl 1231.76073 Málek, J.; Průša, V.; Rajagopal, K. R. 19 2010 Compressible generalized Newtonian fluids. Zbl 1273.76025 Málek, J.; Rajagopal, K. R. 17 2010 Large data existence result for unsteady flows of inhomogeneous shear-thickening heat-conducting incompressible fluids. Zbl 1213.35348 Frehse, Jens; Málek, Josef; Růžička, Michael 15 2010 Unsteady flows of fluids with pressure dependent viscosity in unbounded domains. Zbl 1201.35156 Bulíček, Miroslav; Majdoub, Mohamed; Málek, Josef 12 2010 On the motion of incompressible inhomogeneous Euler-Korteweg fluids. Zbl 1210.76012 Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef; Shvydkoy, Roman 10 2010 A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients. Zbl 1167.76316 Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef 65 2009 Mathematical analysis of unsteady flows of fluids with pressure, shear-rate, and temperature dependent material moduli that slip at solid boundaries. Zbl 1195.35239 Bulíček, M.; Málek, J.; Rajagopal, K. R. 50 2009 On steady flows of incompressible fluids with implicit power-law-like rheology. Zbl 1233.35164 Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 33 2009 Mathematical results concerning unsteady flows of chemically reacting incompressible fluids. Zbl 1182.35184 Bulíček, Miroslav; Málek, Josef; Rajagopal, Kumbakonam 9 2009 Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling \(\nu (p, \cdot ) \to + \infty \) as \(p \to +\infty \). Zbl 1224.35311 Bulíček, M.; Málek, J.; Rajagopal, K. R. 7 2009 Qualitative properties of solutions to partial differential equations. Dedicated to the memory of Professor Tetsuro Miyakawa. In part the lecture notes of the international summer school EVEQ 2008, Prague, Czech Republic, June 16–20, 2008. Zbl 1216.35003 3 2009 Shape optimization for Navier-Stokes equations with algebraic turbulence model: existence analysis. Zbl 1179.49048 Bulíček, Miroslav; Haslinger, Jaroslav; Málek, Josef; Stebel, Jan 2 2009 On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications. Zbl 1143.35037 Diening, Lars; Málek, Josef; Steinhauer, Mark 66 2008 Flows of incompressible fluids subject to Navier’s slip on the boundary. Zbl 1165.76308 Hron, J.; Le Roux, C.; Málek, J.; Rajagopal, K. R. 17 2008 A thermodynamic framework for a mixture of two liquids. Zbl 1154.76311 Málek, J.; Rajagopal, K. R. 14 2008 Anelastic approximation as a singular limit of the compressible Navier-Stokes system. Zbl 1146.35073 Feireisl, Eduard; Málek, Josef; Novotný, Antonín; Straškraba, Ivan 13 2008 Mathematical properties of flows of incompressible power-law-like fluids that are described by implicit constitutive relations. Zbl 1182.35182 Málek, Josef 10 2008 Navier’s slip and incompressible limits in domains with variable bottoms. Zbl 1159.35054 Feireisl, Eduard; Málek, Josef; Novotný, Antonín 8 2008 Navier’s slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity. Zbl 1129.35055 Bulíček, M.; Málek, J.; Rajagopal, K. R. 68 2007 Incompressible rate-type fluids with pressure and shear-rate dependent material moduli. Zbl 1112.76005 Málek, J.; Rajagopal, K. R. 13 2007 On flows of an incompressible fluid with a discontinuous power-law-like rheology. Zbl 1122.76010 Gwiazda, Piotr; Málek, Josef; Świerczewska, Agnieszka 8 2007 On the Navier-Stokes equations with temperature-dependent transport coefficients. Zbl 1133.35419 Feireisl, Eduard; Málek, Josef 53 2006 On the existence and regularity of solutions for degenerate power-law fluids. Zbl 1200.76020 Málek, J.; Pražák, D.; Steinhauer, M. 16 2006 Mathematical issues concerning the Navier-Stokes equations and some of its generalizations. Zbl 1095.35027 Málek, J.; Rajagopal, K. R. 85 2005 On steady flows of fluids with pressure- and shear-dependent viscosities. Zbl 1145.76311 Franta, M.; Málek, J.; Rajagopal, K. R. 38 2005 Herschel-Bulkley fluids: existence and regularity of steady flows. Zbl 1098.76008 Málek, J.; Růžička, M.; Shelukhin, V. V. 30 2005 On a Stokes-like system for mixtures of fluids. Zbl 1084.35057 Frehse, Jens; Goj, Sonja; Málek, Josef 22 2005 A uniqueness result for a model for mixtures in the absence of external forces and interaction momentum. Zbl 1099.35079 Frehse, Jens; Goj, Sonja; Málek, Josef 15 2005 Shape optimization in problems governed by generalised Navier-Stokes equations: existence analysis. Zbl 1167.49328 Haslinger, Jaroslav; Málek, Josef; Stebel, Jan 9 2005 Fluids with pressure-dependent viscosity: partial regularity of steady flows. Zbl 1101.76021 Málek, J.; Mingione, G.; Stará, A. 8 2005 On the dimension of the attractor for a class of fluids with pressure dependent viscosities. Zbl 1125.37057 Bulíček, M.; Málek, J.; Pražák, D. 2 2005 Modeling of the response of elastic plastic materials treated as a mixture of hard and soft regions. Zbl 1142.74315 Kratochvíl, J.; Málek, J.; Rajagopal, K. R.; Srinivasa, A. R. 2 2004 On analysis of steady flows of fluids with shear-dependent viscosity based on the Lipschitz truncation method. Zbl 1050.35080 Frehse, Jens; Málek, Josef; Steinhauer, Mark 79 2003 Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities. Zbl 1205.76159 Hron, J.; Málek, J.; Nečas, J.; Rajagopal, K. R. 21 2003 Problems due to the no-slip boundary in incompressible fluid dynamics. Zbl 1080.35070 Frehse, Jens; Málek, Josef 8 2003 Large time behavior via the method of \(\ell\)-trajectories. Zbl 1187.37113 Málek, Josef; Pražák, Dalibor 68 2002 Global analysis of the flows of fluids with pressure-dependent viscosities. Zbl 1022.76011 Málek, Josef; Nečas, Jindřich; Rajagopal, K. R. 55 2002 Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities. Zbl 0991.35066 Kaplický, P.; Málek, J.; Strará, J. 18 2002 Global existence of solutions for flows of fluids with pressure and shear dependent viscosities. Zbl 1062.76011 Málek, J.; Nečas, J.; Rajagopal, K. R. 18 2002 A Stokes-like system for mixtures. Zbl 1024.76041 Frehse, Jens; Goj, Sonja; Málek, Josef 4 2002 On the dimension of the global attractor for the modified Navier-Stokes equations. Zbl 1184.37062 Málek, Josef; Pražak, Dalibor 2 2002 On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\). Zbl 1021.35085 Málek, J.; Nečas, J.; Růžička, M. 81 2001 Simple flows of fluids with pressure-dependent viscosities. Zbl 1052.76017 Hron, J.; Málek, J.; Rajagopal, K. R. 50 2001 On existence results for fluids with shear dependent viscosity. – Unsteady flows. Zbl 0935.35026 Frehse, J.; Málek, J.; Steinhauer, M. 14 2000 A numerical investigation of flows of shear-thinning fluids with applications to blood rheology. Zbl 0974.76046 Hron, J.; Málek, J.; Turek, S. 9 2000 Finite fractal dimension of the global attractor for a class of non-Newtonian fluids. Zbl 0952.35010 Málek, J.; Pražák, D. 8 2000 Advances in mathematical fluid mechanics. Lecture notes of the 6th international school on mathematical theory in fluid mechanics, Paseky, Czech Republic, September 19–26, 1999. Zbl 0949.00020 2 2000 On axially symmetric flows in \(\mathbb{R}^3\). Zbl 0943.35066 Leonardi, S.; Málek, J.; Nečas, J.; Pokorný, M. 96 1999 \(C^{1,\alpha}\)-solutions to a class of nonlinear fluids in two dimensions-stationary Dirichlet problem. Zbl 0978.35046 Kaplický, P.; Málek, J.; Stará, J. 36 1999 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,518 Authors 75 Rajagopal, Kumbakonam Ramamani 66 Málek, Josef 56 Bulíček, Miroslav 34 Feireisl, Eduard 33 Růžička, Michael 26 Gwiazda, Piotr 24 Nečasová, Šárka 20 Süli, Endre E. 19 Pražák, Dalibor 19 Zhao, Caidi 17 Świerczewska-Gwiazda, Agnieszka 16 Sin, Cholmin 15 Kaplický, Petr 14 Breit, Dominic 14 Diening, Lars 14 Roubíček, Tomáš 14 Saccomandi, Giuseppe 14 Zhang, Zujin 13 Grasselli, Maurizio 13 Kovtunenko, Viktor Anatolievich 13 Migórski, Stanisław 13 Průša, Vít 12 Kim, Jaemyoung 11 Berselli, Luigi Carlo 11 Hron, Jaroslav 11 Novotný, Antonín 10 Abbatiello, Anna 10 Beirão da Veiga, Hugo 10 Borges de Oliveira, Hermenegildo 10 Frehse, Jens 10 Fusi, Lorenzo 10 Itou, Hiromichi 10 Lukáčová-Medviďová, Mária 10 Schimperna, Giulio 10 Stebel, Jan 10 Tan, Zhong 9 Chen, Yazhou 9 Dudek, Sylwia 9 Fang, Li 9 Giorgini, Andrea 9 Guo, Zhenhua 9 Kalita, Piotr 9 Kang, Kyungkeun 9 Mácha, Václav 9 Prokudin, Dmitriĭ Alekseevich 9 Rocca, Elisabetta 9 Shi, Xiaoding 9 Strakoš, Zdeněk 9 Tang, Tong 9 Vohralík, Martin 9 Yoshida, Natsumi 8 Bae, Hyeong-Ohk 8 Burczak, Jan 8 Chueshov, Igor’ Dmitrievich 8 Cianchi, Andrea 8 Heida, Martin 8 Kaltenbach, Alex 8 Li, Yeping 8 Li, Yongsheng 8 Mamontov, Aleksandr Evgen’evich 8 Schwarzacher, Sebastian 8 Vergori, Luigi 8 Zatorska, Ewelina 7 Antontsev, Stanislav Nikolaevich 7 Baranovskiĭ, Evgeniĭ Sergeevich 7 Caraballo Garrido, Tomás 7 Farina, Angiolo 7 Fuchs, Martin 7 Miranville, Alain M. 7 Pokorný, Milan 7 Rossi, Riccarda 7 Şengül, Yasemin 7 Song, Yukun 7 Stroffolini, Bianca 7 Wróblewska-Kamińska, Aneta 7 You, Bo 7 Yuan, Hongjun 7 Zajączkowski, Wojciech M. 6 Consiglieri, Luisa 6 Frigeri, Sergio 6 Gmeineder, Franz 6 He, Qiaolin 6 Kalousek, Martin 6 Karlsen, Kenneth Hvistendahl 6 Lasiecka, Irena 6 Liu, Guowei 6 Liu, Yanlin 6 Łukaszewicz, Grzegorz 6 Massoudi, Mehrdad 6 Rossi, Elena 6 Souček, Ondřej 6 Wolf, Jörg 6 Žabenský, Josef 6 Zhang, Qi-Shuhuason 6 Zhou, Shengfan 5 Agroum, Rahma 5 Azroul, Elhoussine 5 Balaadich, Farah 5 Beck, Lisa 5 Chemetov, Nikolai V. ...and 1,418 more Authors all top 5 Cited in 273 Serials 77 Journal of Differential Equations 70 Journal of Mathematical Analysis and Applications 69 Journal of Mathematical Fluid Mechanics 60 Nonlinear Analysis. 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