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 Documents Indexed: 120 Publications since 1988, including 2 Books 11 Contributions as Editor Co-Authors: 79 Co-Authors with 126 Joint Publications 1,629 Co-Co-Authors all top 5 Co-Authors 3 single-authored 38 Bulíček, Miroslav 35 Rajagopal, Kumbakonam Ramamani 15 Nečas, Jindřich 11 Feireisl, Eduard 10 Frehse, Jens 10 Hron, Jaroslav 9 Růžička, Michael 8 Průša, Vít 7 Süli, Endre E. 6 Kaplický, Petr 6 Rokyta, Mirko 6 Stará, Jana 5 Gwiazda, Piotr 5 Pražák, Dalibor 5 Souček, Ondřej 5 Steinhauer, Mark 4 Heida, Martin 4 Novotný, Antonín 4 Švihlová, Helena 4 Świerczewska-Gwiazda, Agnieszka 3 Goj, Sonja 3 John, Oldřich 3 Los, Tomáš 3 Rajagopal, Keshava 3 Šverák, Vladimír 3 Žabenský, Josef 2 Abbatiello, Anna 2 Blechta, Jan 2 Galdi, Giovanni Paolo 2 Haslinger, Jaroslav 2 Hlaváček, Ivan 2 Kratochvil, Jan 2 Kufner, Alois 2 Maringová, Erika 2 Nečasová, Šárka 2 Pokorný, Milan 2 Stebel, Jan 2 Tůma, Karel 1 Bathory, Michal 1 Beck, Lisa 1 Bellomo, Nicola 1 Bothe, Dieter 1 Burczak, Jan 1 Chabiniok, Radomír 1 Consiglieri, Luisa 1 Diening, Lars 1 Franta, Michal 1 Hruška, David 1 Janečka, Adam 1 Jarolímová, A. 1 Jarušek, Jiří 1 Klouček, Petr 1 Krejčí, Pavel 1 Kulvait, Vojtěch 1 Le Roux, Christiaan 1 Leonardi, Salvatore 1 Lewandowski, Roger 1 Lu, Yong 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 9 Nonlinear Analysis. Real World Applications 8 International Journal of Engineering Science 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 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 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 103 Partial differential equations (35-XX) 101 Fluid mechanics (76-XX) 21 Mechanics of deformable solids (74-XX) 11 General and overarching topics; collections (00-XX) 7 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 110 Publications have been cited 2,311 times in 1,254 Documents Cited by ▼ Year ▼ Weak and measure-valued solutions to evolutionary PDEs. Zbl 0851.35002Nečas, J.; Málek, J.; Rokyta, M.; Růžička, M. 383 1996 On axially symmetric flows in \(\mathbb{R}^3\). Zbl 0943.35066Leonardi, S.; Málek, J.; Nečas, J.; Pokorný, M. 77 1999 On analysis of steady flows of fluids with shear-dependent viscosity based on the Lipschitz truncation method. Zbl 1050.35080Frehse, Jens; Málek, Josef; Steinhauer, Mark 76 2003 Mathematical issues concerning the Navier-Stokes equations and some of its generalizations. Zbl 1095.35027Málek, J.; Rajagopal, K. R. 74 2005 Existence and regularity of solutions and the stability of the rest state for fluids with shear dependent viscosity. Zbl 0838.76005Málek, J.; Rajagopal, K. R.; Růžička, M. 73 1995 On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\). Zbl 1021.35085Málek, J.; Nečas, J.; Růžička, M. 72 2001 Navier’s slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity. Zbl 1129.35055Bulíček, M.; Málek, J.; Rajagopal, K. R. 62 2007 On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications. Zbl 1143.35037Diening, Lars; Málek, Josef; Steinhauer, Mark 61 2008 Large time behavior via the method of \(\ell\)-trajectories. Zbl 1187.37113Málek, Josef; Pražák, Dalibor 58 2002 On unsteady flows of implicitly constituted incompressible fluids. Zbl 1256.35074Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 58 2012 On the non-Newtonian incompressible fluids. Zbl 0787.35067Málek, Josef; Nečas, Jindřich; Růžička, Michael 56 1993 Global analysis of the flows of fluids with pressure-dependent viscosities. Zbl 1022.76011Málek, Josef; Nečas, Jindřich; Rajagopal, K. R. 53 2002 A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients. Zbl 1167.76316Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef 52 2009 Simple flows of fluids with pressure-dependent viscosities. Zbl 1052.76017Hron, J.; Málek, J.; Rajagopal, K. R. 49 2001 Mathematical analysis of unsteady flows of fluids with pressure, shear-rate, and temperature dependent material moduli that slip at solid boundaries. Zbl 1195.35239Bulíček, M.; Málek, J.; Rajagopal, K. R. 46 2009 On the Navier-Stokes equations with temperature-dependent transport coefficients. Zbl 1133.35419Feireisl, Eduard; Málek, Josef 44 2006 On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework. Zbl 1295.76002Heida, Martin; Málek, Josef; Rajagopal, K. R. 44 2012 An existence result for fluids with shear dependent viscosity – steady flows. Zbl 0902.35089Frehse, Jens; Málek, Josef; Steinhauer, Mark 43 1997 A finite-dimensional attractor for three-dimensional flow of incompressible fluids. Zbl 0851.35107Málek, Josef; Nečas, Jindřich 40 1996 On steady flows of fluids with pressure- and shear-dependent viscosities. Zbl 1145.76311Franta, M.; Málek, J.; Rajagopal, K. R. 37 2005 \(C^{1,\alpha}\)-solutions to a class of nonlinear fluids in two dimensions-stationary Dirichlet problem. Zbl 0978.35046Kaplický, P.; Málek, J.; Stará, J. 35 1999 On steady flows of incompressible fluids with implicit power-law-like rheology. Zbl 1233.35164Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 31 2009 Herschel-Bulkley fluids: existence and regularity of steady flows. Zbl 1098.76008Málek, J.; Růžička, M.; Shelukhin, V. V. 27 2005 On elastic solids with limiting small strain: modelling and analysis. Zbl 1314.35184Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Süli, Endre 25 2014 Preconditioning and the conjugate gradient method in the context of solving PDEs. Zbl 1396.65002Málek, Josef; Strakoš, Zdeněk 23 2015 On compressible Korteweg fluid-like materials. Zbl 1231.76248Heida, Martin; Málek, Josef 23 2010 Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies. Zbl 1329.35302Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Walton, Jay R. 22 2015 On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion. Zbl 1432.76075Blechta, Jan; Málek, Josef; Rajagopal, K. R. 22 2020 Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities. Zbl 1205.76159Hron, J.; Málek, J.; Nečas, J.; Rajagopal, K. R. 20 2003 On Kelvin-Voigt model and its generalizations. Zbl 1371.74067Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R. 20 2012 On a Stokes-like system for mixtures of fluids. Zbl 1084.35057Frehse, Jens; Goj, Sonja; Málek, Josef 19 2005 Generalizations of the Navier-Stokes fluid from a new perspective. Zbl 1231.76073Málek, J.; Průša, V.; Rajagopal, K. R. 19 2010 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph. Zbl 1296.35137Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Rajagopal, Kumbakonam R.; Świerczewska-Gwiazda, Agnieszka 18 2012 Global existence of solutions for flows of fluids with pressure and shear dependent viscosities. Zbl 1062.76011Málek, J.; Nečas, J.; Rajagopal, K. R. 17 2002 Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities. Zbl 0991.35066Kaplický, P.; Málek, J.; Strará, J. 17 2002 Compressible generalized Newtonian fluids. Zbl 1273.76025Málek, J.; Rajagopal, K. R. 17 2010 Analysis and approximation of a strain-limiting nonlinear elastic model. Zbl 1327.74032Bulíček, M.; Málek, J.; Süli, E. 15 2015 Flows of incompressible fluids subject to Navier’s slip on the boundary. Zbl 1165.76308Hron, J.; Le Roux, C.; Málek, J.; Rajagopal, K. R. 15 2008 On scalar hyperbolic conservation laws with a discontinuous flux. Zbl 1217.35117Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 15 2011 Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion. Zbl 1464.35207Bathory, Michal; Bulíček, Miroslav; Málek, Josef 14 2021 Incompressible rate-type fluids with pressure and shear-rate dependent material moduli. Zbl 1112.76005Málek, J.; Rajagopal, K. R. 14 2007 On existence results for fluids with shear dependent viscosity. – Unsteady flows. Zbl 0935.35026Frehse, J.; Málek, J.; Steinhauer, M. 14 2000 Global weak solutions to a class of non-Newtonian compressible fluids. Zbl 1335.35180Feireisl, E.; Liao, X.; Málek, J. 14 2015 Large data existence result for unsteady flows of inhomogeneous shear-thickening heat-conducting incompressible fluids. Zbl 1213.35348Frehse, Jens; Málek, Josef; Růžička, Michael 14 2010 A uniqueness result for a model for mixtures in the absence of external forces and interaction momentum. Zbl 1099.35079Frehse, Jens; Goj, Sonja; Málek, Josef 13 2005 On unsteady internal flows of Bingham fluids subject to threshold slip on the impermeable boundary. Zbl 1338.35352Bulíček, Miroslav; Málek, Josef 13 2016 A thermodynamic framework for a mixture of two liquids. Zbl 1154.76311Málek, J.; Rajagopal, K. R. 13 2008 On the existence and regularity of solutions for degenerate power-law fluids. Zbl 1200.76020Málek, J.; Pražák, D.; Steinhauer, M. 13 2006 On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth. Zbl 1375.35164Beck, Lisa; Bulíček, Miroslav; Málek, Josef; Süli, Endre 12 2017 Anelastic approximation as a singular limit of the compressible Navier-Stokes system. Zbl 1146.35073Feireisl, Eduard; Málek, Josef; Novotný, Antonín; Straškraba, Ivan 12 2008 On the development and generalizations of Allen-Cahn and Stefan equations within a thermodynamic framework. Zbl 1295.35360Heida, Martin; Málek, Josef; Rajagopal, K. R. 12 2012 Unsteady flows of fluids with pressure dependent viscosity in unbounded domains. Zbl 1201.35156Bulíček, Miroslav; Majdoub, Mohamed; Málek, Josef 12 2010 Full regularity of weak solutions to a class of nonlinear fluids in two dimensions—stationary, periodic problem. Zbl 0946.76006Kaplický, P.; Málek, J.; Stará, J. 10 1997 PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion. Zbl 1404.35346Bulíček, Miroslav; Málek, Josef; Průša, Vít; Süli, Endre 10 2018 Fractal dimension, attractors, and the Boussinesq approximation in three dimensions. Zbl 0815.35084Málek, Josef; Růžička, Michael; Thäter, Gudrun 9 1994 The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies. Zbl 1415.74011Kulvait, Vojtěch; Málek, Josef; Rajagopal, K. R. 9 2019 Large data analysis for Kolmogorov’s two-equation model of turbulence. Zbl 1448.76094Bulíček, Miroslav; Málek, Josef 9 2019 Localization of the \(W^{-1,q}\) norm for local a posteriori efficiency. Zbl 07199497Blechta, Jan; Málek, Josef; Vohralík, Martin 9 2020 Problems due to the no-slip boundary in incompressible fluid dynamics. Zbl 1080.35070Frehse, Jens; Málek, Josef 8 2003 Internal flows of incompressible fluids subject to stick-slip boundary conditions. Zbl 1365.35117Bulíček, Miroslav; Málek, Josef 8 2017 Shape optimization in problems governed by generalised Navier-Stokes equations: existence analysis. Zbl 1167.49328Haslinger, Jaroslav; Málek, Josef; Stebel, Jan 8 2005 On flows of an incompressible fluid with a discontinuous power-law-like rheology. Zbl 1122.76010Gwiazda, Piotr; Málek, Josef; Świerczewska, Agnieszka 8 2007 Measure-valued solutions and asymptotic behavior of a multipolar model of a boundary layer. Zbl 0774.76008Málek, Josef; Nečas, Jindřich; Novotný, Antonín 8 1992 A numerical investigation of flows of shear-thinning fluids with applications to blood rheology. Zbl 0974.76046Hron, J.; Málek, J.; Turek, S. 8 2000 Navier’s slip and incompressible limits in domains with variable bottoms. Zbl 1159.35054Feireisl, Eduard; Málek, Josef; Novotný, Antonín 8 2008 Determination of pressure data from velocity data with a view toward its application in cardiovascular mechanics. I: Theoretical considerations. Zbl 1423.76531Švihlová, Helena; Hron, Jaroslav; Málek, Josef; Rajagopal, K. R.; Rajagopal, Keshava 8 2016 Mathematical properties of flows of incompressible power-law-like fluids that are described by implicit constitutive relations. Zbl 1182.35182Málek, Josef 8 2008 Mathematical results concerning unsteady flows of chemically reacting incompressible fluids. Zbl 1182.35184Bulíček, Miroslav; Málek, Josef; Rajagopal, Kumbakonam 8 2009 On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions. Zbl 1240.35378Bulíček, M.; Lewandowski, R.; Málek, J. 8 2011 On the motion of incompressible inhomogeneous Euler-Korteweg fluids. Zbl 1210.76012Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef; Shvydkoy, Roman 8 2010 On global existence of smooth two-dimensional steady flows for a class of non-Newtonian fluids under various boundary conditions. Zbl 0953.35120Kaplický, Petr; Málek, Josef; Stará, Jana 7 1999 Variational inequality for a viscous drum vibrating in the presence of an obstacle. Zbl 0876.35078Jarušek, J.; Málek, J.; Nečas, J.; Šverák, V. 7 1992 A continuum model of heterogeneous catalysis: thermodynamic framework for multicomponent bulk and surface phenomena coupled by sorption. Zbl 1425.74186Souček, Ondřej; Orava, Vít; Málek, Josef; Bothe, Dieter 7 2019 Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling \(\nu (p, \cdot ) \to + \infty \) as \(p \to +\infty \). Zbl 1224.35311Bulíček, M.; Málek, J.; Rajagopal, K. R. 7 2009 An \(L^{2}\)-maximal regularity result for the evolutionary Stokes-Fourier system. Zbl 1209.35102Bulíček, Miroslav; Kaplický, Petr; Málek, Josef 7 2011 On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids. Zbl 07228661Souček, Ondřej; Heida, Martin; Málek, Josef 6 2020 Boundary regularity results for models of elasto-perfect plasticity. Zbl 1092.74523Frehse, Jens; Málek, Josef 6 1999 On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures. Zbl 1302.74003Souček, Ondřej; Průša, Vít; Málek, Josef; Rajagopal, K. R. 6 2014 Fluids with pressure-dependent viscosity: partial regularity of steady flows. Zbl 1101.76021Málek, J.; Mingione, G.; Stará, A. 6 2005 On solvability of a non-linear heat equation with a non-integrable convective term and data involving measures. Zbl 1202.35113Bulíček, Miroslav; Consiglieri, Luisa; Málek, Josef 6 2011 Finite fractal dimension of the global attractor for a class of non-Newtonian fluids. Zbl 0952.35010Málek, J.; Pražák, D. 6 2000 On the regularity of two-dimensional unsteady flows of heat-conducting generalized Newtonian fluids. Zbl 1367.76016Bulíček, Miroslav; Málek, Josef; Nikolaevich Shilkin, Timofei 5 2014 On possible singular solutions to the Navier-Stokes equations. Zbl 0922.35126Málek, Josef; Nečas, Jindřich; Pokorný, Milan; Schonbek, Maria E. 5 1999 A generalization of the Darcy-Forchheimer equation involving an implicit, pressure-dependent relation between the drag force and the velocity. Zbl 1308.35198Bulíček, Miroslav; Málek, Josef; Žabenský, Josef 5 2015 On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Zbl 1492.35152Bulíček, Miroslav; Maringová, Erika; Málek, Josef 4 2021 On a class of compressible viscoelastic rate-type fluids with stress-diffusion. Zbl 1423.76032Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef 4 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 1428.76017Janečka, Adam; Málek, Josef; Pruša, Vít; Tierra, Giordano 4 2019 On generalized Stokes’ and Brinkman’s equations with a pressure- and shear-dependent viscosity and drag coefficient. Zbl 1330.35031Bulíček, Miroslav; Málek, Josef; Žabenský, Josef 3 2015 Further remarks on simple flows of fluids with pressure-dependent viscosities. Zbl 1206.35207Hron, Jaroslav; Málek, Josef; Průša, Vít; Rajagopal, K. R. 3 2011 A note on derivative estimates for a Hopf solution to the Navier-Stokes system in a three-dimensional cube. Zbl 0842.35077Málek, J.; Padula, M.; Růžička, M. 3 1995 Modeling of the response of elastic plastic materials treated as a mixture of hard and soft regions. Zbl 1142.74315Kratochvíl, J.; Málek, J.; Rajagopal, K. R.; Srinivasa, A. R. 3 2004 Continuum thermodynamics and nonlinear partial differential equations. Zbl 1213.80002Bellomo, N.; Málek, J. 3 2011 Optimization of steady flows for incompressible viscous fluids. Zbl 0962.49017Málek, Josef; Roubíček, Tomáš 2 1999 A Stokes-like system for mixtures. Zbl 1024.76041Frehse, Jens; Goj, Sonja; Málek, Josef 2 2002 On the dimension of the global attractor for the modified Navier-Stokes equations. Zbl 1184.37062Málek, Josef; Pražak, Dalibor 2 2002 Determination of pressure data from velocity data with a view towards its application in cardiovascular mechanics. II: A study of aortic valve stenosis. Zbl 1423.76533Švihlová, H.; Hron, J.; Málek, J.; Rajagopal, K. R.; Rajagopal, Keshava 2 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 1423.76532Švihlová, Helena; Hron, Jaroslav; Málek, Josef; Rajagopal, K. R.; Rajagopal, Keshava 2 2017 Existence of global weak solutions to implicitly constituted kinetic models of incompressible homogeneous dilute polymers. Zbl 1277.35118Bulíček, Miroslav; Málek, Josef; Süli, Endre 2 2013 Shape optimization for Navier-Stokes equations with algebraic turbulence model: existence analysis. Zbl 1179.49048Bulíček, Miroslav; Haslinger, Jaroslav; Málek, Josef; Stebel, Jan 2 2009 Three-dimensional flows of pore pressure-activated Bingham fluids. Zbl 1425.76015Abbatiello, Anna; Los, Tomáš; Málek, Josef; Souček, Ondřej 2 2019 On evolutionary problems with a-priori bounded gradients. Zbl 07710347Bulíček, Miroslav; Hruška, David; Málek, Josef 2 2023 Global well-posedness for two-dimensional flows of viscoelastic rate-type fluids with stress diffusion. Zbl 1490.76014Bulíček, Miroslav; Málek, Josef; Rodriguez, Casey 1 2022 Three-dimensional flows of incompressible Navier-Stokes fluids in tubes containing a sinus, with varying slip conditions at the wall. Zbl 1517.76019Chabiniok, R.; Hron, J.; Jarolímová, A.; Málek, J.; Rajagopal, K. R.; Rajagopal, K.; Švihlová, H.; Tůma, K. 1 2022 On planar flows of viscoelastic fluids of Giesekus type. Zbl 1504.35298Bulíček, Miroslav; Los, Tomáš; Lu, Yong; Málek, Josef 1 2022 Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion. Zbl 1464.35207Bathory, Michal; Bulíček, Miroslav; Málek, Josef 14 2021 On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Zbl 1492.35152Bulíček, Miroslav; Maringová, Erika; Málek, Josef 4 2021 On the classification of incompressible fluids and a mathematical analysis of the equations that govern their motion. Zbl 1432.76075Blechta, Jan; Málek, Josef; Rajagopal, K. R. 22 2020 Localization of the \(W^{-1,q}\) norm for local a posteriori efficiency. Zbl 07199497Blechta, Jan; Málek, Josef; Vohralík, Martin 9 2020 On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids. Zbl 07228661Souček, Ondřej; Heida, Martin; Málek, Josef 6 2020 The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies. Zbl 1415.74011Kulvait, Vojtěch; Málek, Josef; Rajagopal, K. R. 9 2019 Large data analysis for Kolmogorov’s two-equation model of turbulence. Zbl 1448.76094Bulíček, Miroslav; Málek, Josef 9 2019 A continuum model of heterogeneous catalysis: thermodynamic framework for multicomponent bulk and surface phenomena coupled by sorption. Zbl 1425.74186Souček, Ondřej; Orava, Vít; Málek, Josef; Bothe, Dieter 7 2019 On a class of compressible viscoelastic rate-type fluids with stress-diffusion. Zbl 1423.76032Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef 4 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 1428.76017Janečka, Adam; Málek, Josef; Pruša, Vít; Tierra, Giordano 4 2019 Three-dimensional flows of pore pressure-activated Bingham fluids. Zbl 1425.76015Abbatiello, 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 1404.35346Bulíček, Miroslav; Málek, Josef; Průša, Vít; Süli, Endre 10 2018 On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth. Zbl 1375.35164Beck, Lisa; Bulíček, Miroslav; Málek, Josef; Süli, Endre 12 2017 Internal flows of incompressible fluids subject to stick-slip boundary conditions. Zbl 1365.35117Bulíček, Miroslav; Málek, Josef 8 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 1423.76533Švihlová, H.; Hron, J.; Málek, J.; Rajagopal, K. R.; Rajagopal, Keshava 2 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 1423.76532Švihlová, Helena; Hron, Jaroslav; Málek, Josef; Rajagopal, K. R.; Rajagopal, Keshava 2 2017 Stress-diffusive regularizations of non-dissipative rate-type materials. Zbl 1369.35089Burczak, Jan; Málek, Josef; Minakowski, Piotr 1 2017 On unsteady internal flows of Bingham fluids subject to threshold slip on the impermeable boundary. Zbl 1338.35352Bulíček, Miroslav; Málek, Josef 13 2016 Determination of pressure data from velocity data with a view toward its application in cardiovascular mechanics. I: Theoretical considerations. Zbl 1423.76531Švihlová, Helena; Hron, Jaroslav; Málek, Josef; Rajagopal, K. R.; Rajagopal, Keshava 8 2016 On power-law fluids with the power-law index proportional to the pressure. Zbl 1457.76024Málek, J.; Rajagopal, K. R.; Žabenský, J. 1 2016 Response of a class of mechanical oscillators described by a novel system of differential-algebraic equations. Zbl 1389.34045Málek, Josef; Rajagopal, Kumbakonam R.; Suková, Petra 1 2016 Preconditioning and the conjugate gradient method in the context of solving PDEs. Zbl 1396.65002Málek, Josef; Strakoš, Zdeněk 23 2015 Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies. Zbl 1329.35302Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Walton, Jay R. 22 2015 Analysis and approximation of a strain-limiting nonlinear elastic model. Zbl 1327.74032Bulíček, M.; Málek, J.; Süli, E. 15 2015 Global weak solutions to a class of non-Newtonian compressible fluids. Zbl 1335.35180Feireisl, E.; Liao, X.; Málek, J. 14 2015 A generalization of the Darcy-Forchheimer equation involving an implicit, pressure-dependent relation between the drag force and the velocity. Zbl 1308.35198Bulíček, Miroslav; Málek, Josef; Žabenský, Josef 5 2015 On generalized Stokes’ and Brinkman’s equations with a pressure- and shear-dependent viscosity and drag coefficient. Zbl 1330.35031Bulíček, Miroslav; Málek, Josef; Žabenský, Josef 3 2015 On elastic solids with limiting small strain: modelling and analysis. Zbl 1314.35184Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R.; Süli, Endre 25 2014 On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures. Zbl 1302.74003Souček, Ondřej; Průša, Vít; Málek, Josef; Rajagopal, K. R. 6 2014 On the regularity of two-dimensional unsteady flows of heat-conducting generalized Newtonian fluids. Zbl 1367.76016Bulíček, Miroslav; Málek, Josef; Nikolaevich Shilkin, Timofei 5 2014 Existence of global weak solutions to implicitly constituted kinetic models of incompressible homogeneous dilute polymers. Zbl 1277.35118Bulíček, Miroslav; Málek, Josef; Süli, Endre 2 2013 On unsteady flows of implicitly constituted incompressible fluids. Zbl 1256.35074Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 58 2012 On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework. Zbl 1295.76002Heida, Martin; Málek, Josef; Rajagopal, K. R. 44 2012 On Kelvin-Voigt model and its generalizations. Zbl 1371.74067Bulíček, Miroslav; Málek, Josef; Rajagopal, K. R. 20 2012 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph. Zbl 1296.35137Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Rajagopal, Kumbakonam R.; Świerczewska-Gwiazda, Agnieszka 18 2012 On the development and generalizations of Allen-Cahn and Stefan equations within a thermodynamic framework. Zbl 1295.35360Heida, Martin; Málek, Josef; Rajagopal, K. R. 12 2012 A thermodynamically compatible rate type fluid to describe the response of asphalt. Zbl 1252.76064Hron, J.; Kratochvíl, Jan; Málek, J.; Rajagopal, K. R.; Tůma, K. 1 2012 On scalar hyperbolic conservation laws with a discontinuous flux. Zbl 1217.35117Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 15 2011 On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions. Zbl 1240.35378Bulíček, M.; Lewandowski, R.; Málek, J. 8 2011 An \(L^{2}\)-maximal regularity result for the evolutionary Stokes-Fourier system. Zbl 1209.35102Bulíček, 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 1202.35113Bulíček, Miroslav; Consiglieri, Luisa; Málek, Josef 6 2011 Further remarks on simple flows of fluids with pressure-dependent viscosities. Zbl 1206.35207Hron, Jaroslav; Málek, Josef; Průša, Vít; Rajagopal, K. R. 3 2011 Continuum thermodynamics and nonlinear partial differential equations. Zbl 1213.80002Bellomo, N.; Málek, J. 3 2011 On compressible Korteweg fluid-like materials. Zbl 1231.76248Heida, Martin; Málek, Josef 23 2010 Generalizations of the Navier-Stokes fluid from a new perspective. Zbl 1231.76073Málek, J.; Průša, V.; Rajagopal, K. R. 19 2010 Compressible generalized Newtonian fluids. Zbl 1273.76025Málek, J.; Rajagopal, K. R. 17 2010 Large data existence result for unsteady flows of inhomogeneous shear-thickening heat-conducting incompressible fluids. Zbl 1213.35348Frehse, Jens; Málek, Josef; Růžička, Michael 14 2010 Unsteady flows of fluids with pressure dependent viscosity in unbounded domains. Zbl 1201.35156Bulíček, Miroslav; Majdoub, Mohamed; Málek, Josef 12 2010 On the motion of incompressible inhomogeneous Euler-Korteweg fluids. Zbl 1210.76012Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef; Shvydkoy, Roman 8 2010 A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients. Zbl 1167.76316Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef 52 2009 Mathematical analysis of unsteady flows of fluids with pressure, shear-rate, and temperature dependent material moduli that slip at solid boundaries. Zbl 1195.35239Bulíček, M.; Málek, J.; Rajagopal, K. R. 46 2009 On steady flows of incompressible fluids with implicit power-law-like rheology. Zbl 1233.35164Bulíček, Miroslav; Gwiazda, Piotr; Málek, Josef; Świerczewska-Gwiazda, Agnieszka 31 2009 Mathematical results concerning unsteady flows of chemically reacting incompressible fluids. Zbl 1182.35184Bulíček, Miroslav; Málek, Josef; Rajagopal, Kumbakonam 8 2009 Analysis of the flows of incompressible fluids with pressure dependent viscosity fulfilling \(\nu (p, \cdot ) \to + \infty \) as \(p \to +\infty \). Zbl 1224.35311Bulíček, M.; Málek, J.; Rajagopal, K. R. 7 2009 Shape optimization for Navier-Stokes equations with algebraic turbulence model: existence analysis. Zbl 1179.49048Bulíček, Miroslav; Haslinger, Jaroslav; Málek, Josef; Stebel, Jan 2 2009 On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications. Zbl 1143.35037Diening, Lars; Málek, Josef; Steinhauer, Mark 61 2008 Flows of incompressible fluids subject to Navier’s slip on the boundary. Zbl 1165.76308Hron, J.; Le Roux, C.; Málek, J.; Rajagopal, K. R. 15 2008 A thermodynamic framework for a mixture of two liquids. Zbl 1154.76311Málek, J.; Rajagopal, K. R. 13 2008 Anelastic approximation as a singular limit of the compressible Navier-Stokes system. Zbl 1146.35073Feireisl, Eduard; Málek, Josef; Novotný, Antonín; Straškraba, Ivan 12 2008 Navier’s slip and incompressible limits in domains with variable bottoms. Zbl 1159.35054Feireisl, Eduard; Málek, Josef; Novotný, Antonín 8 2008 Mathematical properties of flows of incompressible power-law-like fluids that are described by implicit constitutive relations. Zbl 1182.35182Málek, Josef 8 2008 Navier’s slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity. Zbl 1129.35055Bulíček, M.; Málek, J.; Rajagopal, K. R. 62 2007 Incompressible rate-type fluids with pressure and shear-rate dependent material moduli. Zbl 1112.76005Málek, J.; Rajagopal, K. R. 14 2007 On flows of an incompressible fluid with a discontinuous power-law-like rheology. Zbl 1122.76010Gwiazda, Piotr; Málek, Josef; Świerczewska, Agnieszka 8 2007 On the Navier-Stokes equations with temperature-dependent transport coefficients. Zbl 1133.35419Feireisl, Eduard; Málek, Josef 44 2006 On the existence and regularity of solutions for degenerate power-law fluids. Zbl 1200.76020Málek, J.; Pražák, D.; Steinhauer, M. 13 2006 Mathematical issues concerning the Navier-Stokes equations and some of its generalizations. Zbl 1095.35027Málek, J.; Rajagopal, K. R. 74 2005 On steady flows of fluids with pressure- and shear-dependent viscosities. Zbl 1145.76311Franta, M.; Málek, J.; Rajagopal, K. R. 37 2005 Herschel-Bulkley fluids: existence and regularity of steady flows. Zbl 1098.76008Málek, J.; Růžička, M.; Shelukhin, V. V. 27 2005 On a Stokes-like system for mixtures of fluids. Zbl 1084.35057Frehse, Jens; Goj, Sonja; Málek, Josef 19 2005 A uniqueness result for a model for mixtures in the absence of external forces and interaction momentum. Zbl 1099.35079Frehse, Jens; Goj, Sonja; Málek, Josef 13 2005 Shape optimization in problems governed by generalised Navier-Stokes equations: existence analysis. Zbl 1167.49328Haslinger, Jaroslav; Málek, Josef; Stebel, Jan 8 2005 Fluids with pressure-dependent viscosity: partial regularity of steady flows. Zbl 1101.76021Málek, J.; Mingione, G.; Stará, A. 6 2005 On the dimension of the attractor for a class of fluids with pressure dependent viscosities. Zbl 1125.37057Bulíček, M.; Málek, J.; Pražák, D. 1 2005 Modeling of the response of elastic plastic materials treated as a mixture of hard and soft regions. Zbl 1142.74315Kratochvíl, J.; Málek, J.; Rajagopal, K. R.; Srinivasa, A. R. 3 2004 On analysis of steady flows of fluids with shear-dependent viscosity based on the Lipschitz truncation method. Zbl 1050.35080Frehse, Jens; Málek, Josef; Steinhauer, Mark 76 2003 Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities. Zbl 1205.76159Hron, J.; Málek, J.; Nečas, J.; Rajagopal, K. R. 20 2003 Problems due to the no-slip boundary in incompressible fluid dynamics. Zbl 1080.35070Frehse, Jens; Málek, Josef 8 2003 Large time behavior via the method of \(\ell\)-trajectories. Zbl 1187.37113Málek, Josef; Pražák, Dalibor 58 2002 Global analysis of the flows of fluids with pressure-dependent viscosities. Zbl 1022.76011Málek, Josef; Nečas, Jindřich; Rajagopal, K. R. 53 2002 Global existence of solutions for flows of fluids with pressure and shear dependent viscosities. Zbl 1062.76011Málek, J.; Nečas, J.; Rajagopal, K. R. 17 2002 Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities. Zbl 0991.35066Kaplický, P.; Málek, J.; Strará, J. 17 2002 A Stokes-like system for mixtures. Zbl 1024.76041Frehse, Jens; Goj, Sonja; Málek, Josef 2 2002 On the dimension of the global attractor for the modified Navier-Stokes equations. Zbl 1184.37062Málek, 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 1021.35085Málek, J.; Nečas, J.; Růžička, M. 72 2001 Simple flows of fluids with pressure-dependent viscosities. Zbl 1052.76017Hron, J.; Málek, J.; Rajagopal, K. R. 49 2001 On existence results for fluids with shear dependent viscosity. – Unsteady flows. Zbl 0935.35026Frehse, J.; Málek, J.; Steinhauer, M. 14 2000 A numerical investigation of flows of shear-thinning fluids with applications to blood rheology. Zbl 0974.76046Hron, J.; Málek, J.; Turek, S. 8 2000 Finite fractal dimension of the global attractor for a class of non-Newtonian fluids. Zbl 0952.35010Málek, J.; Pražák, D. 6 2000 On axially symmetric flows in \(\mathbb{R}^3\). Zbl 0943.35066Leonardi, S.; Málek, J.; Nečas, J.; Pokorný, M. 77 1999 \(C^{1,\alpha}\)-solutions to a class of nonlinear fluids in two dimensions-stationary Dirichlet problem. Zbl 0978.35046Kaplický, P.; Málek, J.; Stará, J. 35 1999 On global existence of smooth two-dimensional steady flows for a class of non-Newtonian fluids under various boundary conditions. Zbl 0953.35120Kaplický, Petr; Málek, Josef; Stará, Jana 7 1999 Boundary regularity results for models of elasto-perfect plasticity. Zbl 1092.74523Frehse, Jens; Málek, Josef 6 1999 On possible singular solutions to the Navier-Stokes equations. Zbl 0922.35126Málek, Josef; Nečas, Jindřich; Pokorný, Milan; Schonbek, Maria E. 5 1999 Optimization of steady flows for incompressible viscous fluids. Zbl 0962.49017Málek, Josef; Roubíček, Tomáš 2 1999 An existence result for fluids with shear dependent viscosity – steady flows. Zbl 0902.35089Frehse, Jens; Málek, Josef; Steinhauer, Mark 43 1997 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,306 Authors 70 Rajagopal, Kumbakonam Ramamani 61 Málek, Josef 53 Bulíček, Miroslav 31 Růžička, Michael 25 Feireisl, Eduard 23 Gwiazda, Piotr 21 Nečasová, Šárka 16 Pražák, Dalibor 15 Süli, Endre E. 14 Breit, Dominic 14 Diening, Lars 14 Kaplický, Petr 14 Saccomandi, Giuseppe 14 Świerczewska-Gwiazda, Agnieszka 14 Zhang, Zujin 12 Grasselli, Maurizio 12 Průša, Vít 12 Zhao, Caidi 11 Berselli, Luigi Carlo 10 Beirão da Veiga, Hugo 10 Frehse, Jens 10 Kim, Jaemyoung 10 Kovtunenko, Viktor Anatolievich 10 Migórski, Stanisław 10 Sin, Cholmin 9 Borges de Oliveira, Hermenegildo 9 Fusi, Lorenzo 9 Hron, Jaroslav 9 Schimperna, Giulio 9 Stebel, Jan 9 Tang, Tong 8 Abbatiello, Anna 8 Bae, Hyeong-Ohk 8 Burczak, Jan 8 Chueshov, Igor’ Dmitrievich 8 Cianchi, Andrea 8 Heida, Martin 8 Itou, Hiromichi 8 Kalita, Piotr 8 Kang, Kyungkeun 8 Lukáčová-Medvid’ová, Mária 8 Mácha, Václav 8 Prokudin, Dmitriĭ Alekseevich 8 Roubíček, Tomáš 8 Schwarzacher, Sebastian 8 Tan, Zhong 8 Vergori, Luigi 8 Yoshida, Natsumi 7 Dudek, Sylwia 7 Fuchs, Martin 7 Giorgini, Andrea 7 Guo, Zhenhua 7 Li, Yongsheng 7 Mamontov, Aleksandr Evgen’evich 7 Novotný, Antonín 7 Şengül, Yasemin 7 Yuan, Hongjun 6 Antontsev, Stanislav Nikolaevich 6 Chen, Yazhou 6 Consiglieri, Luisa 6 Fang, Li 6 Farina, Angiolo 6 Massoudi, Mehrdad 6 Miranville, Alain M. 6 Rocca, Elisabetta 6 Shi, Xiaoding 6 Song, Yukun 6 Stroffolini, Bianca 6 Vohralík, Martin 6 Wolf, Jörg 6 Wróblewska-Kamińska, Aneta 6 You, Bo 6 Žabenský, Josef 6 Zatorska, Ewelina 6 Zhou, Shengfan 5 Azroul, Elhoussine 5 Balaadich, Farah 5 Beck, Lisa 5 Crispo, Francesca 5 Frigeri, Sergio 5 Gmeineder, Franz 5 He, Qiaolin 5 Kalousek, Martin 5 Kaltenbach, Alex 5 Karlsen, Kenneth Hvistendahl 5 Ko, Seungchan 5 Lasiecka, Irena 5 Lei, Zhen 5 Li, Yeping 5 Liu, Chun 5 Liu, Wei 5 Łukaszewicz, Grzegorz 5 Maringová, Erika 5 Marušić-Paloka, Eduard 5 Mingione, Giuseppe 5 Pastukhova, Svetlana Evgenievna 5 Pokorný, Milan 5 Rossi, Riccarda 5 Souček, Ondřej 5 Strakoš, Zdeněk ...and 1,206 more Authors all top 5 Cited in 241 Serials 69 Journal of Differential Equations 63 Journal of Mathematical Analysis and Applications 62 Journal of Mathematical Fluid Mechanics 58 Nonlinear Analysis. 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