15 papers · 1 filter
On the exponential decay in time of solutions to a~generalized Navier-Stokes-Fourier system
Anna Abbatiello, Miroslav Bulíček, Petr Kaplický
We consider a non-Newtonian incompressible heat conducting fluid with prescribed nonuniform temperature on the boundary and with the no-slip boundary conditions for the velocity. W…
Non-Newtonian fluids with discontinuous-in-time stress tensor
Miroslav Buliček, Piotr Gwiazda, Jakub Skrzeczkowski +1
We consider the system of equations describing the flow of incompressible fluids in bounded domain. In the considered setting, the Cauchy stress tensor is a monotone mapping and ha…
On evolutionary problems with a-priori bounded gradients
Miroslav Bulíček, David Hruška, Josef Málek
We study a nonlinear evolutionary partial differential equation that can be viewed as a generalization of the heat equation where the temperature gradient is a~priori bounded but t…
Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data
Miroslav Bulíček, Victoria Patel, Yasemin Şengül +1
We consider a system of evolutionary equations that is capable of describing certain viscoelastic effects in linearized yet nonlinear models of solid mechanics. The essence of the…
On nonlinear problems of parabolic type with implicit constitutive equations involving flux
Miroslav Bulíček, Josef Málek, Erika Maringová
We study systems of nonlinear partial differential equations of parabolic type, in which the elliptic operator is replaced by the first order divergence operator acting on a flux f…
On incompressible heat-conducting viscoelastic rate-type fluids with stress-diffusion and purely spherical elastic response
Miroslav Bulíček, Josef Málek, Vít Průša +1
We prove the existence of large-data global-in-time weak solutions to an evolutionary PDE system describing flows of incompressible \emph{heat-conducting} viscoelastic rate-type fl…