8 papers
A note on the convergence of the eigenvalues in a subdomain to the continuous spectrum
Miroslav BulÃÄek, Bjørn Fredrik Nielsen, ZdenÄk StrakoÅ¡
The SIGEST paper Nielsen and StrakoÅ¡ (2024) characterized the spectrum of the preconditioned operator in a bounded open two-dimensional domain…
On three-dimensional flows of thermo-viscoelastic fluids of Giesekus type
Miroslav BulÃÄek, 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 continuity in time of solutions to a generalized Navier--Stokes--Fourier system
Miroslav BulÃÄek, 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 BulÃÄek, 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 stability of solutions to non-Newtonian Navier--Stokes--Fourier-like systems in the supercritical case
Anna Abbatiello, Miroslav BulÃÄek, 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 BulÃÄek, 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…