Position
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Associate Professor: Mathematical modelling, Mathematical Institute of Charles University, Faculty of Mathematics and Physics, Charles University
Research interests
- Partial differential equations
- Continuum thermodynamics
- Mathematical modelling
On-going projects
Selected publications
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A. Abbatiello, M. Bulíček and P. Kaplický: On the exponential decay in time of solutions to a generalized Navier-Stokes-Fourier system, J. Differential Equations, 379, 762--793, 2024
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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
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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
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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
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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
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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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
