7 citations · 9 across the 12 of their papers we have counts for
15 papers
On existence of weak solutions to a Baer-Nunziato type system
Martin Kalousek, Šárka Nečasová
In this paper, a dissipative version of a compressible one velocity Baer--Nunziato type system for a mixture of two compressible heat conducting gases is considered. The complete e…
Existence of weak solution for a compressible multicomponent fluid structure interaction problem
Martin Kalousek, Sourav Mitra, Šárka Nečasová
We analyze a system of PDEs governing the interaction between two compressible mutually noninteracting fluids and a shell of Koiter type encompassing a time dependent 3D domain fil…
Singular limit for the compressible Navier--Stokes equations with the hard sphere pressure law on expanding domains
Martin Kalousek, Sarka Necasova
The article is devoted to the asymptotic limit of the compressible Navier-Stokes system with a pressure obeying a hard--sphere equation of state on a domain expanding to the whole…
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities
Martin Kalousek, Sourav Mitra, Anja Schlömerkemper
In this article we prove the global existence of weak solutions for a diffuse interface model in a bounded domain (both in 2D and 3D) involving incompressible magnetic fluids with…
Local-in-time existence of strong solutions to a class of compressible non-Newtonian Navier-Stokes equations
Martin Kalousek, Václav Mácha, Šárka Nečasová
The aim of this article is to show a local-in-time existence of a strong solution to the generalized compressible Navier-Stokes equation for arbitrarily large initial data. The goa…
Global existence of weak solutions to a diffuse interface model for magnetic fluids
Martin Kalousek, Sourav Mitra, Anja Schlömerkemper
This article is devoted to the derivation and analysis of a system of partial differential equations modeling a diffuse interface flow of two Newtonian incompressible magnetic flui…
Dissipative solutions to a system for the flow of magnetoviscoelastic materials
Martin Kalousek, Anja Schlömerkemper
We address the question of global in time existence of solutions to a magnetoviscoelastic system with general initial data. We show that the notion of dissipative solutions allows…
Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity
Martin Kalousek, Joshua Kortum, Anja Schlömerkemper
The paper is concerned with the analysis of an evolutionary model for magnetoviscoelastic materials in two dimensions. The model consists of a Navier-Stokes system featuring a depe…
On dissipative solutions to a system arising in viscoelasticity
Martin Kalousek
We consider a model for an incompressible visoelastic fluid. It consists of the Navier-Stokes equations involving an elastic term in the stress tensor and a transport equation for…
Extensibility of a system of transport equations in the case of an impermeable boundary
Martin Kalousek, Šárka Nečasová, Anja Schlömerkemper
We show that the steady and unsteady system of transport equations with a nonhomogeneous right hand side can be extended from its domain that possesses an impermeable -boundar…
Existence and homogenization of nonlinear elliptic systems in nonreflexive spaces
Miroslav Bulíček, Piotr Gwiazda, Martin Kalousek +1
We consider a strongly nonlinear elliptic problem with the homogeneous Dirichlet boundary condition. The growth and the coercivity of the elliptic operator is assumed to be indicat…
Gradient theory for a class of non-diagonal nonlinear elliptic systems
Miroslav Bulíček, Martin Kalousek, Petr Kaplický +1
We consider a class of nonlinear non-diagonal elliptic systems with -growth and establish the -integrability for all of any weak solution provided the corres…
Homogenization of nonlinear elliptic systems in nonreflexive Musielak-Orlicz spaces
Miroslav Bulíček, Piotr Gwiazda, Martin Kalousek +1
We study the homogenization process for families of strongly nonlinear elliptic systems with the homogeneous Dirichlet boundary conditions. The growth and the coercivity of the ell…
Homogenization of a stationary flow of a generalized Newtonian fluid
Miroslav Bulíček, Martin Kalousek, Petr Kaplický
We perform the homogenization process avoiding the necessity of testing the weak formulation of the initial and homogenized systems by corresponding weak solutions. We show that th…
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…