13 citations · 13 across the 4 of their papers we have counts for
12 papers
A simple thermodynamic framework for heat-conducting flows of mixtures of two interacting fluids
Josef Málek, Ondřej Souček
Within the theory of interacting continua, we develop a model for a heat conducting mixture of two interacting fluids described in terms of the densities and the velocities for eac…
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…
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…
On unsteady flows of pore pressure-activated granular materials
Anna Abbatiello, Miroslav Bulíček, Tomáš Los +2
We investigate mathematical properties of the system of nonlinear partial differential equations that describe, under certain simplifying assumptions, evolutionary processes in wat…
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…