Preprints

Invited survey

  1. M. Bulíček, J. Málek, K.R. Rajagopal and E. Süli: On elastic solids with limiting small strain: modelling and analysis, EMS Surveys in Mathematical Sciences, 1, No. 2, 283--332, 2014

Invited publication in book

  1. M. Bulíček: Flows of Fluids with Pressure Dependent Material Coefficients In Fluids Under Pressure, edited by T. Bodnár, G. Galdi, Š. Nečasová, series Advances in Mathematical Fluid Mechanics. Birkhäuser, Cham, 2020, ISBN: 978-3-030-39638-1
  2. M. Bulíček, J. Málek, V. Průša and E. Süli: PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion In Mathematical Analysis in Fluid Mechanics: Selected Recent Results, edited by R. Danchin, R. Farwig, J. Neustupa and P. Penel, series Contemp. Math., 710, 25--51, AMS 2018, ISBN: 978-1-4704-3646-9
  3. M. Bulíček and J. Málek: On Unsteady Internal Flows of Bingham Fluids Subject to Threshold Slip on the Impermeable Boundary, In Recent Developments of Mathematical Fluid Mechanics, edited by H. Amann, Y. Giga, H. Kozono, H. Okamoto and M. Yamazaki, series: Advances in Mathematical Fluid Mechanics, Birkhauser 2016, 135--156, ISBN 978-3-0348-0938-2.
  4. M. Bulíček, P. Gwiazda, J. Málek, K.R. Rajagopal and A. Swierczevska-Gwiazda: On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph , In Mathematical Aspects of Fluid Mechanics, edited by James C. Robinson, Jose L. Rodrigo and Witold Sadowski, London Mathematical Society Lecture Note Series (No. 402), Cambridge University Press, 2012, 26--54, ISBN-13: 978-1-107-60925-9
  5. M. Bulíček, J. Málek and Y. Terasawa: On Hausdorff Dimension of Blow-Up Times Relevant to Weak Solution of Generalized Navier-Stokes Fluids , In GAKUTO International Series: Mathematical Sciences and Applications Volume 35, edited by T. Adachi, Y. Giga, T. Hishida, Y. Kagei, H. Konozo and T. Ogawa, Gakkotosho Tokyo, Japan, 2011, 116--129, ISBN: 9784762504600.
  6. M. Bulíček, J. Málek, K. R. Rajagopal: Mathematical Results Concerning the Unsteady Flows of Chemically Reacting Incompressible Fluids, In Partial Differential Equations and Fluid Mechanics, edited by James C. Robinson and Jose L. Rodrigo., London Mathematical Society Lecture Note Series (No. 364), Cambridge University Press, 2009, 26--54, ISBN-13: 9780521125123

Published papers

  1. M. Bathory, M. Bulíček and O. Souček: Existence and qualitative theory for nonlinear elliptic systems with a nonlinear interface condition used in electrochemistry, Z. Angew. Math. Phys., 71, No. 3, Article 74, 2020
  2. M. Bulíček, P. Gwiazda, M. Kalousek and A. Świerczewska-Gwiazda: Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces, Nonlinear Analysis, 194, May, Article 111487, 2020
  3. M. Bulíček, E. Feireisl and J. Málek: On a class of compressible viscoelastic rate-type fluids with stress--diffusion, Nonlinearity, 32, No. 12, 4665--4681, 2019
  4. M. Bulíček, J. Burczak and S. Schwarzacher: Well posedness of nonlinear parabolic systems beyond duality, Ann. Inst. H. Poincaré Anal. Non Linéaire, 36, No. 5, 1467--1500, 2019
  5. M. Bulíček, S.-S. Byun, P. Kaplický, J. Oh and S. Schwarzacher: On global Lq estimates for systems with p-growth in rough domains, Calc. Var., 58, No. 185, 2019
  6. M. Bulíček, J. Málek and V. Průša: Thermodynamics and Stability of Non-Equilibrium Steady States in Open Systems, Entropy, 21, No. 7:704, 2019
  7. M. Bulíček, P. Kaplický and D. Pražák: Uniqueness and regularity of flows of non-Newtonian fluids with critical power-law growth, Math. Models Methods Appl. Sci., 29, No. 6, 1207--1225, 2019
  8. A. Abbatiello, M. Bulíček and P. Kaplický: On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index, J. Math. Fluid Mech., 21, No. 1, Art. 15, 22 pp., 2019
  9. M. Bulíček and J. Málek: Large data analysis for Kolmogorov's two-equation model of turbulence, Nonlinear Anal. Real World Appl., 50, 104--143, 2019
  10. M. Bulíček, P. Gwiazda, M. Kalousek and A. Świerczewska-Gwiazda: Homogenization of nonlinear elliptic systems in nonreflexive Musielak-Orlicz spaces, Nonlinearity, 32, No. 3, 1073--1110, 2019
  11. L. Beck, M. Bulíček and E. Maringová: Globally Lipschitz minimizers for variational problems with linear growth, ESAIM Control Optim. Calc. Var., 24, No. 4, 1395--1413, 2018
  12. M. Bulíček, E. Maringová, B. Stroffolini and A. Verde: A boundary regularity result for minimizers of variational integrals with nonstandard growth, Nonlinear analysis, 177, 153--168, 2018
  13. A. Bensoussan, M. Bulíček and J. Frehse: Bellman systems with mean field dependent dynamics, Chin. Ann. Math. Ser. B, 39, No. 3, 461--486, 2018
  14. M. Bulíček, G. Cupini, B. Stroffolini and A. Verde: Existence and regularity results for weak solutions to $(p,q)$-elliptic systems in divergence form, Adv. Calc. Var., 11, No. 3, 273--288, 2018
  15. M. Bulíček and J. Frehse: A revision of results for standard models in elasto-perfect-plasticity theory, Calculus of Variation & PDEs, 57, No. 2, Article:50, 2018
  16. M. Bulíček and J. Burczak: Existence and smoothness for a class of $n$D models in elasticity theory of small deformations, ZAMP, 69, Article:20, 2018
  17. M. Bulíček, M. Kalousek, P. Kaplický and V. Mácha: Gradient $L^q$ theory for a class of non-diagonal nonlinear elliptic systems, Nonlinear Analysis, 171, 156--169, 2018
  18. M. Bulíček, M. Pokorný and N. Zamponi: Existence analysis for incompressible fluid model of electrically charged chemically reacting and heat conducting mixtures, SIAM J. Math. Anal., 49, No. 5, 3776--3830, 2017
  19. M. Bulíček, M. Kalousek and P. Kaplický: Homogenization of a stationary flow of an electrorheological fluid, Annali di Matematica Pura ed Applicata, 196, No. 3, 1185--1202, 2017
  20. L. Beck, M. Bulíček, J. Málek and E. Süli: On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth, Archive for Rational Mechanics and Analysis, 225, No. 2, 717--769, 2017
  21. M. Bulíček, A. Glitzky and M. Liero: Thermistor systems of $p(x)$-Laplace-type with discontinuous exponents via entropy solutions, Discrete and Continuous Dynamical Systems - Series S, 10, No. 4, 697--713, 2017
  22. M. Bulíček and J. Málek: Internal flows of incompressible fluids subject to stick-slip boundary conditions, Vietnam Journal of Mathematics, 45, No. 1, 207--220, 2017
  23. M. Bulíček, P. Gwiazda and A. Świerczewska-Gwiazda: On unified theory for scalar conservation laws with fluxes and sources being discontinuous with respect to the unknown, J. Differential Equations, 262, No. 1, 313--364, 2017
  24. M. Bulíček, J. Burczak and S. Schwarzacher: A unified theory for some non Newtonian fluids under singular forcing, SIAM J. Math. Anal., 48, N0. 6, 4241--4267, 2016
  25. M. Bulíček and S. Schwarzacher: Existence of very weak solutions to elliptic systems of p-Laplacian type, Calc. Var. Partial Differential Equations, 55, No. 3, 55:52, 2016
  26. M. Bulíček, P. Gwiazda, E. Süli and A. Swierczevska-Gwiazda: Analysis of a viscosity model for concentrated polymers, Math. Models Methods Appl. Sci., 26, No. 8, 1599--1648, 2016
  27. M. Bulíček, L. Diening and S. Schwarzacher: Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems, Anal. PDE, 9, No. 5, 1115--1151, 2016
  28. M. Bulíček, A. Glitzky and M. Liero: Systems describing electrothermal effects with p(x)-Laplacian like structure for discontinuous variable exponents, SIAM J. Math. Anal., 48, No. 5, 3496--3514, 2016
  29. M. Bulíček, J. Málek and J. Žabenský: A generalization of the Darcy-Forchheimer equation involving an implicit, pressure-dependent relation between the drag force and the velocity, J. Math. Anal. Appl. 424, No. 1, 785--801, 2015
  30. M. Bulíček, J. Málek and E. Süli: Analysis and approximation of a strain-limiting nonlinear elastic model, Mathematics and Mechanics of Solids, 20, No. 1, 92--118, 2015
  31. M. Bulíček and J. Havrda: On Existence Of Weak Solution To A Model Describing Incompressible Mixtures With Thermal Diffusion Cross Effects, Z. Angew. Math. Mech., 95, No. 6, 589--619, 2015
  32. M. Bulíček and J. Žabenský: Large data existence theory for unsteady flows of fluids with pressure- and shear-dependent viscosities, Nonlinear Anal. Theory Methods Appl., 127, 94--127, 2015
  33. M. Bulíček, J. Frehse and M. Steinhauer: On Hölder continuity of solutions for a class of nonlinear elliptic systems with p-growth via weighted integral techniques, Annali di Matematica Pura ed Applicata, 194, No. 4, 1025--1069, 2015
  34. M. Bulíček, J. Málek, K. R. Rajagopal and J. R. Walton: Existence of solutions for the anti-plane stress for a new class of "strain-limiting" elastic bodies, Calc. Var. Partial Differential Equations, 54, No. 2, 2115--2147, 2015
  35. M. Bulíček, J. Málek and J. Žabenský: On generalized Stokes' and Brinkman's equations with a pressure- and shear-dependent viscosity and drag coefficient, Nonlinear Anal. Real World Appl., 26, 109--132, 2015
  36. L. Beck, M. Bulíček and J. Frehse: Old and new results in regularity theory for diagonal elliptic systems via blow up techniques, J. Differential Equations, 259, No. 11, 6528--6572, 2015
  37. M. Bulíček, J. Frehse and M. Steinhauer: Everywhere Cα - estimates for a class of nonlinear elliptic systems with critical growth, Adv. Calc. Var, 7, No. 2, 139--204, 2014
  38. M. Bulíček, J. Málek and T. N. Shilkin: On the Regularity of Two-Dimensional Unsteady Flows of Heat-Conducting Generalized Newtonian Fluids, Nonlinear Analysis: Real World Applications, 19, 89--104, 2014
  39. M. Bulíček and P. Pustějovská: Existence Analysis For a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid, SIAM J. Math. Anal., 46, No. 5, 3223--3240, 2014
  40. M. Bulíček, P. Gwiazda and A. Swierczevska-Gwiazda: Multi-dimensional scalar conservation laws with fluxes discontinuous in the unknown and the spatial variable, Math. Models Methods Appl. Sci., 23 , No. 3, 407--439, 2013
  41. M. Bulíček and P. Pustějovská: On Existence analysis of steady flows of generalized Newtonian fluids with concentration dependent power-law index, J. Math. Anal. Appl., 402, No. 1, 157--166, 2013
  42. M. Bulíček, P. Kaplický and M. Steinhauer: On existence of a classical solution to a generalized Kelvin-Voigt model, Pacific J. of Math., 262, No. 1, 11--33, 2013
  43. M. Bulíček, J. Málek and E. Süli: Existence of global weak solutions to implicitly constituted kinetic models of incompressible homogeneous dilute polymers, Comm. Partial Differential Equations, 58, No. 5, 882--924, 2013
  44. M. Bulíček and J. Frehse: Cα regularity for a class of non-diagonal elliptic systems with p-growth, Calc. Var. Partial Differential Equations, 43, No. 3, 441--462, 2012
  45. M. Bulíček, J. Málek and K.R. Rajagopal: On Kelvin-Voigt model and its generalizations, Evolution Equations and Control Theory, 1, No. 1, 17--42, 2012
  46. M. Bulíček: On continuity properties of monotone operators beyond the natural domain of definition, Manuscripta Mathematica, 138, No. 3--4, 287--298, 2012
  47. A. Bensoussan, M. Bulíček and J. Frehse: Existence and compactness for weak solutions to Bellman systems with critical growth, DCDS-B, 17, No. 6, 1729--1750, 2012
  48. M. Bulíček, P. Gwiazda, J. Málek and A. Swierczevska-Gwiazda: On Unsteady Flows of Implicitly Constituted Incompressible Fluids, SIAM J. Math. Anal., 44, No. 4, 2756–-2801, 2012
  49. M. Bulíček, L. Consiglieri and J. Málek: On solvability of a non-linear heat equation with a non-integrable convective term and data involving measures, Nonlinear Anal. Real World Appl., 12, No. 1, 571--591, 2011
  50. M. Bulíček, P. Kaplický and J. Málek: An L2-maximal regularity result for the evolutionary Stokes–Fourier system, Appl. Anal., 90, No. 1, 31--45, 2011
  51. M. Bulíček, P. Gwiazda, J. Málek and A. Swierczeweska-Gwiazda: On scalar hyperbolic laws with discontinuous flux, Math. Models Methods Appl. Sci., 21, No. 1, 89--113, 2011
  52. M. Bulíček and J. Frehse: On nonlinear elliptic Bellman systems for a class of stochastic differential games in arbitrary dimension, Math. Models Methods Appl. Sci., 21, No. 1, 215--240, 2011
  53. M. Bulíček and O. Ulrych: Planar flows of incompressible heat-conducting shear-thinning fluids- Existence analysis, Appl. Math., 56 , No. 1, 7--38, 2011
  54. M. Bulíček, R. Lewandowski and J. Málek: On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions, Comment.Math.Univ.Carolin., 52, No. 1, 89--114, 2011
  55. M. Bulíček, J. Málek and K.R. Rajagopal: On The Need For Compatibility Of Thermal And Mechanical Data In Flow Problems, Int. J. Eng. Sci., 49, No. 7, 537--543, 2011
  56. M. Bulíček, J. Málek and M. Majdoub: Unsteady Flows of Fluids with Pressure Dependent Viscosity in Unbounded Domains, Nonlinear Anal. Real World Appl., 11, No. 5, 3968--3983, 2010
  57. M. Bulíček, E. Feireisl, J. Málek and R. Shvydkoy: On te Motion of Incompressible inhomogeneous Euler-Korteweg Fluids, Discrete Contin. Dyn. Syst. Ser. S1, 3, No. 3, 497--515, 2010
  58. M. Bulíček, F. Ettwein, P. Kaplický and D. Pražák: On uniqueness and time regularity of flows of power-law like non-Newtonian fluids, Math. Methods Appl. Sci., 33, No. 16, 1995--2010, 2010
  59. M. Bulíček, E. Feireisl and J. Málek: Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients, Nonlinear Anal. Real World Appl., 10, No. 2, 992--1015, 2009
  60. 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, 665--707, 2009
  61. M. Bulíček, F. Ettwein, P. Kaplický and D. Pražák: Dimension of the attractor for 3D flow of non- Newtonian fluid, Commun. Pure Appl. Anal., 8, No. 5, 1503--1520, 2009
  62. M. Bulíček, J. Haslinger, J. Málek and J. Stebel: Shape optimization for Navier-Stokes equations with algebraic turbulence model: Existence analysis, Appl. Math. Optim., 60, No. 2, 185--212, 2009
  63. M. Bulíček, P. Gwiazda, J. Málek and A. Swierczewska-Gwiazda: On steady flows of an incompressible fluids with implicit power-law-like rheology, Adv. Calc. Var., 2, No. 2, 109--136, 2009
  64. M. Bulíček and V. Fišerová: Existence Theory for Steady Flows of Fluids with Pressure and Shear Rate Dependent viscosity, for low values of the power-law index, Z. Anal. Anwend., 28, No. 3, 349--371, 2009
  65. M. Bulíček, J. Málek, K. R. Rajagopal: Analysis of the flows of incompressible fluids with pressure dependent viscosity fullling ν(p) → ∞ as p→ ∞, Czechoslovak Math. J., 59, No. 2, 503--528, 2009
  66. M. Bulíček and D. Pražák: A note on the dimension of the global attractor for abstract semilinear hyperbolic problem, Appl. Math. Lett., 22, No. 7, 1025--1028, 2009
  67. M. Bulíček, J. Frehse and J. Málek: On boundary regularity for the stress in problems of linearized elasto-plasticity, Int. J. Adv. Eng. Sci. Appl. Math., 1, No. 4, 141--156, 2009
  68. M. Bulíček and P. Kaplický: Incompressible fluids with shear rate and pressure dependent viscosity: regularity of steady planar flows, Discrete Contin. Dyn. Syst. Ser. S1, 1, No. 1, 41--50, 2008
  69. M. Bulíček, J. Málek, K. R. Rajagopal: Navier's Slip and Evolutionary Navier-Stokes-Like Systems with Pressure and Shear-rate Dependent Viscosity, Indiana Univ. Math. J., 56, No. 1, 51--86, 2007
  70. M. Bulíček, J. Málek and D. Pražák: On the dimension of the attractor for a class of fluids with pressure dependent viscosities, Commun. Pure Appl. Anal., 4, No. 4, 805--822, 2005