List of publications
From Josef Málek
Book
- J. Málek, J. Nečas, M. Rokyta, M. Růžička, Weak and measure–valued solutions to evolutionary PDE’s, Series: Applied Mathematics and Mathematical Computation 13, Chapman and Hall (CRC Press), 1996.
Chapter in book
- J. Málek, K. R. Rajagopal, Mathematical properties of the equations governing the flow of fluids with pressure and shear rate dependent viscosities, Handbook of Mathematical Fluid Dynamics, Volume 4 (Eds: S. Friedlander, D. Serre) (2006), Elsevier B. V., Amsterdam, 407–444.
- J. Málek, K. R. Rajagopal, Mathematical issues concerning the Navier-Stokes equations and some of its generalizations, Handb. Differ. Equ., Evolutionary Equations, Volume 2 (Eds: C. Dafermos, E. Feireisl) (2005), Elsevier/North Holland, Amsterdam, 371-459.
Papers in journals
Submited
- M. Bulíček, J. Frehse, J. Málek, On boundary regularity for the stress in problems of linerized elastoplasticity, International Journal of Advances in Engineering Sciences and AppliedMathematics(IJAESAM).
- M. Bulíček, L. Consiglieri, J. Málek, Slip boundary effects on unsteady flows of incompressible viscous heat conducting fluids with a non-linear internal energy-temperature relationship, Mathematical Models and Methods in Applied Sciences .
- M. Bulíček, L. Consiglieri, J. Málek, On solvability of a non-linear heat equation with a non-integrable convective term and data involving measures, Mathematical Models and Methods in Applied Sciences.
- J. Málek, and K. R. Rajagopal, Compressible Generalized Newtonian Fluids, ZAMP.
- M. Bulíček, P. Gwiazda, J. Málek, A. Swierczewska-Gwiazda, On scalar hyperbolic conservation laws with discontinuous flux, Annales de l’Institut Henri Poincare (C) Non Linear Analysis .
- J. Hron, J. Málek, V. Průša, K. R. Rajagopal, Further remarks on simple flows of fluids with pressure dependent viscosities, Journal of Non-Newtonian Fluid Mechanics
- M. Bulíček, M. Majdoub, J. Málek, Unsteady Flows of Fluids with Pressure Dependent Viscosity in Unbounded Domains, Nonlinear Analysis: Real World Applications
- M. Bulíček, P. Kaplický, J. Málek, An L2-Regularity Result for the Evolutionary Stokes-Fourier system, Applicable Analysis
Accepted
- J. Frehse, J. Málek, M. Růžička, Large data existence result for unsteady flows of inhomogeneous heatconducting incompressible fluids, Communications in Partial Differential Equations.
Published
- M. Bulíček, J. Haslinger, J. Málek, J. Stebel, Shape optimization for Navier-Stokes equations with algebraic turbulence model: existence analysis, Appl. Math. Optim. 60 (2009), 185–212.
- M. Bulíček, P. Gwiazda, J. Málek, A. Swierczewska-Gwiazda, On steady flows of an incompressible fluid with implicit power-law-like rheology, Advances in Calculus of Variations 2 (2009), 109–136.
- M. Bulíček, J. Málek, K. R. Rajagopal, Mathematical analysis of unsteady flows of fluids with pressure, shear rate, and temperature dependent material moduli that slip at solid boundaries, SIAM J. Math. Anal. 41 (No.2) (2009), 665–707.
- M. Bulíček, E. Feireisl, J. Málek, A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients, Nonlinear Anal. Real World Appl. 10 (2009), 992-1015.
- J. Málek, Mathematical properties of flows of incompressible power-law-like fluids that are described by implicit constitutive relations, Electronic Transactions on Numerical Analysis Volume 31 (2008), 110-125.
- J. Hron, C. Le Roux, J. Málek, K.R. Rajagopal, Flows of Incompressible Fluids subject to Naviers slip on the boundary, Comput. Math. Appl. 56 (2008), no. 8, 2128-2143.
- E. Feireisl, J. Málek, A. Novotný, Navier’s slip and incompressible limits in domains with variable bottoms, Discrete and Continuous Dynamical Systems - Ser. S 1 (2008), 427–460.
- J. Málek, K. R. Rajagopal, A Thermodynamics Framework for a Mixture of two Liquids, Nonlinear Anal. Real World Appl. 9 (2008) 1649–1660.
- E. Feireisl, J. Málek, A. Novotný, I. Straškraba, Anelastic approximation as a singular limit of the compressible Navier-Stokes system, Comm. PDE’s 33 (2008), 157–176.
- L. Diening, J. Málek, M. Steinhauer, On Lipschitz Truncations of Sobolev functions (with variable exponent) and their selected applications, ESAIM: Control, Optimization and Calculus of Variations 14 (2008) 211–232.
- P. Gwiazda, J. Málek, A. Swierczewska, On flows of an incompressible fluid with discontinuous power-law rheology, Comput. Math. Appl. 53 (2007), no. 3-4, 531–546.
- M. Bulíček, J. Málek, K. R. Rajagopal, Navier’s slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity, Indiana University Mathematics Journal 56 (No. 1) (2007), 51–86.
- J. Málek, K. R. Rajagopal, Incompressible rate type fluids with pressure and shear-rate dependent material moduli, Nonlinear Anal. Real World Appl. 8 (No. 1) (2007), 156–164.
- E. Feireisl, J. Málek, On the Navier-Stokes equations with temperature-dependent transport coefficients, Differ. Equ. Nonlinear Mech. (2006), 14 pp. (electronic).
- J. Málek, D. Pražák, M. Steinhauer, On the existence and regularity of solutions for degenerate power-law fluids, Differential Integral Equations 19 (2006), 449–462.
- J. Málek, K. R. Rajagopal, On the modeling of inhomogeneous incompressible fluid-like bodies, Mechanics of Materials 38 (2006), 233–242.
- J. Málek, M. Růžička, V. V. Shelukhin, Herschel-Bulkley Fluids: Existence and Regularity of Steady Flows, Math. Models Methods Appl. Sci. 15 (No.12) (2005), 1845–1861.
- J. Haslinger, J. Málek, J. Stebel, Shape optimization in problems governed by generalized Navier-Stokes equations: existence analysis, Control Cybernet. 34 (No.1) (2005), 283-303.
- M. Bulíček, J. Málek, D. Pražák, On the dimension of the global attractor for a class of fluids with pressure dependent viscosities, Commun. Pure Appl. Anal. 4 (No.8) (2005), 805-822.
- J. Frehse, S. Goj, J. Málek, A uniqueness result for a model for mixtures in the absence of external forces and interaction momentum, Appl. Math. 50 (2005), 527–541.
- J. Frehse, S. Goj, J. Málek, On a Stokes-like system for mixtures of fluids, SIAM J. Math. Anal. 36 (No.6) (2005), 1259–1281.
- M. Franta, J. Málek, K.R. Rajagopal, On steady flows of fluids with pressure and shear dependent viscosities, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 461 (2005), 651–670.
- J. Kratochvíl, J. Málek, K.R. Rajagopal, A.S. Srinivasa, Modeling of the response of elastic plastic materials treated as a mixture of hard and soft regions, Z. Angew. Math. Phys. 55 (No.3) (2004), 500–518.
- J. Frehse, J. Málek, M. Steinhauer, On analysis of steady flows of fluids with shear dependent viscosity based on the Lipschitz truncation method, SIAM J. Math. Anal. 34 (No.5) (2003), 1064–1083.
- J. Hron, J. Málek, J. Nečas, K.R. Rajagopal, Numerical Simulations and Global Existence of Solutions of Two Dimensional Flows of Fluids With Pressure and Shear Dependent Viscosities, Modelling 2001 (Pilsen), Math. Comput. Simulation 61 (No.3-6) (2003), 297–315.
- J. Málek, J. Nečas, K.R. Rajagopal, Global Analysis of the Flows of Fluids with pressure dependent viscosities, Arch. Ration. Mech. Anal. 165 (No.3) (2002), 243–269.
- J. Málek, J. Nečas, K.R. Rajagopal, Global Existence of Solutions for Flows of Fluids with Pressure and Shear Dependent Viscosities, Appl. Math. Lett. 15 (No.8) (2002), 961–967.
- J. Málek, D. Pražák, Large time behaviour via the method of ℓ-trajectories, J. Differential Equations 181 (2002), 243–279.
- P. Kaplický, J. Málek and J. Stará, Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities, NoDEA Nonlinear Differential Equations Appl. 9 (2002), 175–195.
- J. Hron, J. Málek, K.R. Rajagopal, Simple flows of fluids with pressure dependent viscosities, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 457 (No.8) (2001), 1603–1622.
- J. Málek, J. Nečas, M. Růžička, On weak solutions to a class of non–Newtonian incompressible fluids in bounded three-dimensional domains. The case p_2, Adv. Differential Equations 6 (2001), 257–302.
- J. Hron, J.Málek and S. Turek, A numerical investigation of flows of shear-thinning fluids with applications to blood rheology, International Journal for Numerical Methods in Fluids 32 (2000), 863–879.
- J. Málek, D. Pražák, Finite fractal dimension of the global attractor for a class of non-Newtonian fluids, Appl. Math. Lett. 13 (No.1) (2000), 105–110.
- P. Kaplický, J. Málek, J. Stará, C1-regularity of weak solutions to a class of nonlinear fluids in two dimensions – stationary Dirichlet problem, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 259 (1999), 89–121.
- J. Frehse, J. Málek, Boundary regularity results for models of elasto-perfect plasticity, Math. Models Methods in Appl. Sci. 9 (No.9) (1999), 1–15.
- S. Leonardi, J. Málek, J. Nečas, M. Pokorný, On Axially Symmetric flows in R3, Z. Anal. Anwendungen 18 (No.3) (1999), 639–649.
- J. Málek, J. Nečas, M. Pokorný and M.E. Schonbek, On possible singular solutions to the Navier–Stokes equations, Math. Nachr. 199 (1999), 97-114.
- J. Frehse, J. Málek and M. Steinhauer, An existence result for fluids with shear dependent viscosity–steady flows, Nonlinear Anal. 30 (1997), 3041-3049.
- J. Málek, J. Nečas, A finitedimensional Attractor for Threedimensional Flow of Incompressible Fluids, J. Differential Equations 127 (No.2) (1996), 498–518.
- J. Málek, K.R. Rajagopal, M. Růžička, Existence and Regularity of Solutions and Stability of the Rest State for Fluids with Shear Dependent Viscosity, Math. Models Methods
- J. Málek, M. Růžička, G. Thäter, Fractal Dimension, Attractors and Boussinesq Approximation in Three Dimensions, Acta Appl. Math. (IF=0.456) 37 (No.1-2) (1994), 83–97.
- J. Málek, S. Turek, Non–Newtonian Flow Prediction by Divergence Free Finite Elements, Stability Appl. Anal. Contin. Media 3 (1993), 165–180.
- J. Málek, J. Nečas, M. Růžička, On the Non–Newtonian Incompressible Fluids, Mathematical Models and Methods in Applied Sciences 3 (No.1) (1993), 35–63.
- J. Jarušek, J. Málek, J. Nečas, V. Šverák, Variational inequality for a viscous drum vibrating in the presence of an obstacle, Rend. Mat. Appl. 12 (No. 4) (1992), 943–958.