10 papers · 1 filter
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…
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…