15 papers · 1 filter
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…
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…