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. Bulíček, J. Málek and E. Maringová: On unsteady internal flows of incompressible fluids characterized by implicit constitutive equations in the bulk and on the boundary, J. Math. Fluid Mech., 25, No. 3, Paper No. 72, 2023
  2. M. Bulíček, D. Hruška and J. Málek: On evolutionary problems with a-priori bounded gradients, Calc. Var. Partial Differential Equations, 62, No. 7, Paper No. 188, 2023
  3. M. Bulíček, P. Gwiazda, J. Skrzeczkowski and J. Woźnicki: Non-Newtonian fluids with discontinuous-in-time stress tensor, J. Funct. Anal., 285, No. 2, Paper No. 109943, 2023
  4. M. Bulíček, T. Los, Y. Lu and J. Málek: On planar flows of viscoelastic fluids of Giesekus type, Nonlinearity, 35, No. 12, 6557--6604, 2022
  5. M. Bulíček, V. Patel, E. Süli and Y. Şengül: Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data, SIAM J. Math. Anal., 54, No. 6, 6186--6222, 2022
  6. A. Abbatiello, M. Bulíček and P. Kaplický: On solutions for a generalized Navier-Stokes-Fourier system fulfilling the entropy equality, Philos. Trans. Roy. Soc. A, 380, No. 2236, Paper No. 20210351, 15 pp., 2022
  7. M. Bulíček, P. Gwiazda and J. Skrzeczkowski: On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals, Arch. Ration. Mech. Anal., 246, No. 1, 209--240, 2022
  8. M. Bulíček, J. Málek and C. Rodriguez: Global well-posedness for two-dimensional flows of viscoelastic rate-type fluids with stress diffusion, J. Math. Fluid Mech., 24, No. 3, Paper No. 61, 19pp., 2022
  9. M. Bulíček, A. Jüngel, M. Pokorný and N. Zamponi: Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures, J. Math. Phys., 63, No.5, Paper No. 051501, 48 pp., 2022
  10. A. Abbatiello, M. Bulíček and E. Maringová: On the dynamic slip boundary condition for Navier--Stokes-like problems, Math. Models Methods Appl. Sci., 31, No. 11, 2165--2212, 2021
  11. M. Bulíček, J. Málek and E. Maringová: On nonlinear problems of parabolic type with implicit constitutive equations involving flux, Math. Models Methods Appl. Sci., 31, No. 10, 2039--2090, 2021
  12. M. Bulíček, J. Málek, V. Průša and and E.Süli: On incompressible heat-conducting viscoelastic rate-type fluids with stress-diffusion and purely spherical elastic response, SIAM J. Math. Anal., 53, No. 4, 3985--4030, 2021
  13. M. Bulíček, V. Patel, Y. Şengül and E. Süli: Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body, Commun. Pure Appl. Anal., 20, No. 5, 1931--1960, 2021
  14. M. Bulíček, P. Gwiazda and J. Skrzeczkowski: Parabolic equations in Musielak-Orlicz spaces with discontinuous in time N-function, J. Differential Equations, 290, 17--56, 2021
  15. M. Bulíček, J. Frehse and M. Specovius-Neugebauer: Regularity results for two standard models in elasto-perfect-plasticity theory with hardening, J. Convex Anal., 28, No. 2, 395--428, 2021
  16. A. Abbatiello, M. Bulíček, T. Los, J. Málek and O. Souček: On unsteady flows of pore pressure-activated granular materials, Z. Angew. Math. Phys., 70, No. 1, Paper No. 6, 2021
  17. M. Bathory, M. Bulíček and J. Málek: Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion, Advances in Nonlinear Analysis, 10, No. 1, 501--521, 2021
  18. L. Beck, M. Bulíček and F. Gmeineder: On a Neumann problem for variational functionals of linear growth, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), XXI, 695--737, 2020
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. M. Bulíček, J. Málek and V. Průša: Thermodynamics and Stability of Non-Equilibrium Steady States in Open Systems, Entropy, 21, No. 7:704, 2019
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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
  38. 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
  39. 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
  40. 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
  41. 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
  42. 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
  43. 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
  44. 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
  45. 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
  46. 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
  47. 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
  48. 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
  49. 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
  50. 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
  51. 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
  52. 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
  53. 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
  54. 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
  55. 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
  56. 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
  57. 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
  58. 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
  59. 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
  60. 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
  61. 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
  62. 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
  63. 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
  64. M. Bulíček: On continuity properties of monotone operators beyond the natural domain of definition, Manuscripta Mathematica, 138, No. 3--4, 287--298, 2012
  65. 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
  66. 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
  67. 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
  68. 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
  69. 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
  70. 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
  71. M. Bulíček and O. Ulrych: Planar flows of incompressible heat-conducting shear-thinning fluids- Existence analysis, Appl. Math., 56 , No. 1, 7--38, 2011
  72. 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
  73. 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
  74. 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
  75. 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
  76. 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
  77. 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
  78. 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
  79. 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
  80. 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
  81. 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
  82. 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
  83. 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
  84. 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
  85. 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
  86. 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
  87. 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
  88. 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