8 papers
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…
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…