List of publications

From Josef Málek
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Book

  1. 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

  1. 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.
  2. 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.


Paper in journals

  1. Málek, J. and Pražák, D. and Steinhauer, M. On the existence and regularity of solutions for degenerate power-law fluids Differential and Integral equations 19 (2006) 449-462
  2. Málek, J. and Rajagopal, K.R. On the modeling of inhomogeneous incompressible fluid-like bodies Mechanics of Materials 38 (2006 ) 233-242
  3. Haslinger, J. and Málek, J. and Stebel, J. Shape optimization in problems governed by generalized Navier-Stokes equations: existence analysis Control and Cybernetics 34 (2005) 283-303
  4. Bulíček, M. and Málek, J. and Pražák, D. On the dimension of the attractor for a class of fluids with pressure dependent viscosities Communications on Pure and Applied Analysis 4 (2005) 805-822
  5. Frehse, Jens and Goj, Sonja and Málek, Josef On a Stokes-like system for mixtures of fluids SIAM Journal on Mathematical Analysis 36 (2005) 1259-1281 (electronic)
  6. Franta, M. and Málek, J. and Rajagopal, K. R. On steady flows of fluids with pressure- and shear-dependent viscosities Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 461 (2005) 651-670
  7. Málek, J. and Růžička, M. and Shelukhin, V. V. Herschel-Bulkley fluids: existence and regularity of steady flows Mathematical Models & Methods in Applied Sciences 15 (2005) 1845-1861
  8. Kratochvíl, J. and Málek, J. and Rajagopal, K. R. and Srinivasa, A. R. Modeling of the response of elastic plastic materials treated as a mixture of hard and soft regions Zeitschrift für Angewandte Mathematik und Physik. ZAMP. Journal of Applied Mathematics and Physics. Journal de Mathématiques et de Physique Appliquées 55 (2004) 500-518
  9. Frehse, Jens and Málek, Josef and Steinhauer, Mark On analysis of steady flows of fluids with shear-dependent viscosity based on the Lipschitz truncation method SIAM Journal on Mathematical Analysis 34 (2003) 1064-1083 (electronic)
  10. Hron, J. and Málek, J. and Nečas, J. and Rajagopal, K. R. Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities Mathematics and Computers in Simulation 61 (2003) 297-315
  11. Málek, Josef and Nečas, Jindrich and Rajagopal, K. R. Global analysis of the flows of fluids with pressure-dependent viscosities Archive for Rational Mechanics and Analysis 165 (2002) 243-269
  12. Málek, J. and Nečas, J. and Rajagopal, K. R. Global existence of solutions for flows of fluids with pressure and shear dependent viscosities Applied Mathematics Letters. An International Journal of Rapid Publication 15 (2002 ) 961-967
  13. Málek, Josef and Pražák, Dalibor Large time behavior via the method of 1-trajectories Journal of Differential Equations 181 (2002) 243-279
  14. Kaplický, P. and Málek, J. and Stara, J. Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities NoDEA. Nonlinear Differential Equations and Applications 9 (2002) 175-195
  15. Málek, J. and Nečas, J. and Růžička, M. On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: Advances in Differential Equations 6 (2001) 257-302
  16. Hron, J. and Málek, J. and Rajagopal, K. R. Simple flows of fluids with pressure-dependent viscosities Proceedings: Mathematical, Physical and Engineering Sciences 457 (2001) 1603-1622
  17. Málek, J. and Pražák, D. Finite fractal dimension of the global attractor for a class of non-Newtonian fluids Applied Mathematics Letters. An International Journal of Rapid Publication 13 (2000) 105-110
  18. Hron, J. and Málek, J. and Turek, S. 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
  19. Kaplický, P. and Málek, J. and Stara, J. Solutions to a class of nonlinear fluids in two dimensions stationary Dirichlet problem Rossi\u\i skaya Akademiya Nauk. Sankt-Peterburgskoe Otdelenie. Matematicheski\u\i\ Institut im. V. A. Steklova. Zapiski Nauchnykh Seminarov (POMI) 259 (1999) 89-121, 297
  20. Frehse, Jens and Málek, Josef Boundary regularity results for models of elasto-perfect plasticity Mathematical Models & Methods in Applied Sciences 9 (1999) 1307-1321
  21. Leonardi, S. and Málek, J. and Nečas, J. and Pokorny, M. On axially symmetric flows in Zeitschrift für Analysis und ihre Anwendungen. Journal for Analysis and its Applications 18 (1999 ) 639-649
  22. Málek, Josef and Nečas, Jindrich and Pokorný, Milan and Schonbek, Maria E. On possible singular solutions to the Navier-Stokes equations Mathematische Nachrichten 199 (1999) 97-114
  23. Kaplický, Petr and Málek, Josef and Stara, Jana Full regularity of weak solutions to a class of nonlinear fluids in two dimensions---stationary, periodic problem Commentationes Mathematicae Universitatis Carolinae 38 (1997 ) 681-695
  24. Málek, Josef and Nečas, Jindrich A finite-dimensional attractor for three-dimensional flow of incompressible fluids Journal of Differential Equations 127 (1996) 498-518
  25. Málek, J. and Rajagopal, K. R. and Růžička, M. Existence and regularity of solutions and the stability of the rest state for fluids with shear dependent viscosity Mathematical Models & Methods in Applied Sciences 5 (1995 ) 789-812
  26. Málek, Josef and Růžička, Michael and Thater, Gudrun Fractal dimension, attractors, and the Boussinesq approximation in three dimensions Acta Applicandae Mathematicae. An International Survey Journal on Applying Mathematics and Mathematical Applications 37 (1994) 83-97
  27. Málek, Josef and Nečas, Jindrich and Růžička, Michael On the non-Newtonian incompressible fluids Mathematical Models & Methods in Applied Sciences 3 (1993) 35-63
  28. Málek, Josef and Turek, Stefan Non-Newtonian Flow Prediction by Divergence Free Finite Elements Appl. Anal. Contin. Media 3 (1993) 165-180
  29. Jarusek, J. and Málek, J. and Nečas, J. and Sverak, V. Variational inequality for a viscous drum vibrating in the presence of an obstacle Rendiconti di Matematica e delle sue Applicazioni. Serie VII 12 (1992 ) 943-958 (1993)
  30. Málek, Josef and Nečas, Jindrich and Novotny, Antonin Measure-valued solutions and asymptotic behavior of a multipolar model of a boundary layer Czechoslovak Mathematical Journal 42(117) (1992) 549-576
  31. Klouček, Petr and Málek, Josef Transonic flow calculation via finite elements Československá Akademie Věd. Aplikace Matematiky 33 (1988) 296-321


Paper in book

  1. Frehse, Jens and Málek, Josef Problems due to the no-slip boundary in incompressible fluid dynamics (2003 ) 559-571
  2. Málek, Josef and Pražák, Dalibor On the dimension of the global attractor for the modified Navier-Stokes equations 2 (2002 ) 267-283
  3. Frehse, Jens and Goj, Sonja and Málek, Josef A Stokes-like system for mixtures 2 (2002 ) 119-136
  4. Málek, Josef Global analysis for the fluids of a power-law type 528 (2001 ) 213-233
  5. Frehse, J. and Málek, J. and Steinhauer, M. On existence results for fluids with shear dependent viscosity---unsteady flows 406 (2000 ) 121-129
  6. Málek, Josef and Roubíček, Tomáš Optimization of steady flows for incompressible viscous fluids (1999 ) 355-372
  7. Kaplický, Petr and Málek, Josef and Stara, Jana On global existence of smooth two-dimensional steady flows for a class of non-Newtonian fluids under various boundary conditions (1999 ) 213-229
  8. Málek, J. and Padula, M. and Růžička, M. A note on derivative estimates for a Hopf solution to the Navier-Stokes system in a three-dimensional cube (1995 ) 141-146


In proceedings

  1. Málek, J. Self-similar scaling in power-law fluid models (2006) 00-00
  2. Málek, J. and Mingione, G.R. and Stará J. Fluids with pressure dependent viscosity: partial regularity of steady flows (2005) 380-386
  3. Haslinger, J. and Málek, J. and Stebel, J. Shape optimization in problems governed by generalized Navier-Stokes equations: existence analysis IASME Transactions 6 (2005) 905-910
  4. Málek, J. and Pokorný M. On a certain class of singular solutions for power-law fluids IASME Transactions 7 (2005) 1227-1231
  5. Luckhaus, Stephan and Malek, Josef On an evolutionary nonlinear fluid model in the limiting case Academy of Sciences of the Czech Republic. Mathematical Institute. Mathematica Bohemica 126 (2001 ) 421-428
  6. Kaplický, P. and Málek, J. and Stará, J. On existence of smooth unsteady twodimensional flows for a class of non-Newtonian fluids in space periodic setting (2000) 41-48, Technical university Liberec, Czech republic
  7. Frehse, Jens and Málek, Josef and Steinhauer, Mark An existence result for fluids with shear dependent viscosity-steady flows Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 30 (1997) 3041-3049
  8. Málek, J. and Rajagopal, K.R. On Oberbeck-Boussinesq Approximation (2000) 369-370


Editor

  1. Málek, Josef and Nečas, Jindřich and Rokyta Mirko (Eds.) Advances in mathematical fluid mechanics Springer-Verlag Berlin 2000
  2. Galdi, Giovanni P. and Málek, Josef and Nečas Jindřich (Eds.) Progress in theoretical and computa\-tional fluid mechanics Longman Scientific and Technical Essex 1994
  3. Galdi, Giovanni P. and Málek, Josef and Nečas Jindřich (Eds.) Mathematical theory in fluid mechanics Longman Scientific and Technical Essex 1996
  4. Málek, Josef and Nečas, Jindřich and Rokyta Mirko (Eds.) Advanced Topics in Theoretical Fluid Mechanics Longman Scientific and Technical Essex 1998


Others

  1. John, Oldřich and Málek, Josef and Stará, Jana Jindřich Nečas [on the occasion of his 70th birthday] (1999) vi-xi
  2. Hlaváček, I. and John, O. and Kufner, A. and Málek, J. and Nečasová, S. and Stará, J. and Svěrák, V. In memoriam Jindřich Nečas Academy of Sciences of the Czech Republic. Mathematical Institute. Mathematica Bohemica 129 (2004) 421-446
  3. Hlaváček, I. and John, O. and Kufner, A. and Málek, J. and Nečasová, S. and Stará, J. and Svěrák, V. Matematik Jindřich Nečas Pokroky matematiky, fyziky a astronomie 49 (2004 ) 302-317
  4. Feireisl, Eduard and Málek, Josef and Novotný, Antonin and Rokyta, Mirko and Růžička, Michael Foreword [Proceedings of the Eighth International School on Mathematical Theory in Fluid Mechanics in memory of Professor Jindrich Necas] Applications of Mathematics 49 (2004) 499-500
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