42 citations · 48 across the 12 of their papers we have counts for
16 papers
A note on the convergence of the eigenvalues in a subdomain to the continuous spectrum
Miroslav Bulíček, Bjørn Fredrik Nielsen, Zdeněk Strakoš
The SIGEST paper Nielsen and Strakoš (2024) characterized the spectrum of the preconditioned operator in a bounded open two-dimensional domain $Ω…
On three-dimensional flows of thermo-viscoelastic fluids of Giesekus type
Miroslav Bulíček, Tomáš Los, Jakub Woźnicki
Viscoelastic rate-type fluid models constitute a fundamental framework for the mathematical description of complex materials exhibiting coupled elastic and viscous effects, with a…
On the stability of solutions to non-Newtonian Navier--Stokes--Fourier-like systems in the supercritical case
Anna Abbatiello, Miroslav Bulíček, Petr Kaplický
We consider a three-dimensional domain occupied by a homogeneous, incompressible, non-Newtonian, heat-conducting fluid with prescribed nonuniform temperature on the boundary and no…
-regularity for nonlinear non-diagonal parabolic systems
Miroslav Bulíček, Jens Frehse
In the elliptic theory for -Laplacian-like problems, the Hölder continuity of solutions has been proven for problems arising as Euler--Lagrange equations of a convex potential w…
On the continuity in time of solutions to a generalized Navier--Stokes--Fourier system
Miroslav Bulíček, Petr Kaplický, Lucie Wintrová
We consider the flow of a generalized non-Newtonian incompressible heat-conducting fluid in a~bounded two-dimensional domain, subject to Dirichlet boundary conditions for velocity…
A new representation formula for the logarithmic corotational derivative -- a case study in application of commutator based functional calculus
Michal Bathory, Miroslav Bulíček, Josef Málek +1
The logarithmic corotational derivative is a key concept in rate-type constitutive relations in continuum mechanics. The derivative is defined in terms of the logarithmic spin tens…
On the well-possedness of time-dependent three-dimensional Euler fluid flows
Miroslav Bulíček, Josef Málek
We study the mathematical properties of time-dependent flows of incompressible fluids that respond as an Euler fluid until the modulus of the symmetric part of the velocity gradien…
Coupling the Navier-Stokes-Fourier equations with the Johnson-Segalman stress-diffusive viscoelastic model: Global-in-time and large-data analysis
Michal Bathory, Miroslav Bulíček, Josef Málek
We prove that there exists a~large-data and global-in-time weak solution to a~system of partial differential equations describing an unsteady flow of an incompressible heat-conduct…
Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body
Miroslav Bulíček, Victoria Patel, Yasemin Şengül +1
We prove the existence of a unique large-data global-in-time weak solution to a class of models of the form for viscoelast…
On the dynamic slip boundary condition for Navier--Stokes-like problems
Anna Abbatiello, Miroslav Bulíček, Erika Maringová
The choice of the boundary conditions in mechanical problems has to reflect the interaction of the considered material with the surface, despite the assumption of the no-slip condi…
Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion
Michal Bathory, Miroslav Bulíček, Josef Málek
We prove that there exists a weak solution to a system governing an unsteady flow of a viscoelastic fluid in three dimensions, for arbitrarily large time interval and data. The flu…
Existence and qualitative theory for nonlinear elliptic systems with a nonlinear interface condition used in electrochemistry
Michal Bathory, Miroslav Bulíček, Ondřej Souček
We study a nonlinear elliptic system with prescribed inner interface conditions. These models are frequently used in physical system where the ion transfer plays the important role…
Time regularity of flows of non-Newtonian fluids with critical power-law growth
Miroslav Bulíček, Petr Kaplický, Dalibor Pražák
We deal with the flows of non-Newtonian fluids in three dimensional setting subjected to the homogeneous Dirichlet boundary condition. Under the natural monotonicity, coercivity an…
PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion
Miroslav Bulíček, Josef Málek, Vít Průša +1
We establish the long-time existence of large-data weak solutions to a system of nonlinear partial differential equations. The system of interest governs the motion of non-Newtonia…
On unified theory for scalar conservation laws with fluxes and sources discontinuous with respect to the unknown
Miroslav Bulíček, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda
We deal with the Cauchy problem for multi-dimensional scalar conservation laws, where the fluxes and the source terms can be discontinuous functions of the unknown. The main novelt…
Gradient theory for a class of nondiagonal elliptic systems
Miroslav Bulíček, Martin Kalousek, Petr Kaplický +1
We show that the new result on Hölder continuity of solutions to a class of nondiagonal elliptic systems with -growth in [2] can be used to improve the theory for such sys…