TY  - JOUR
A1  - Mitra, Sourav
T1  - Local Existence of Strong Solutions of a Fluid–Structure Interaction Model
JF  - Journal of Mathematical Fluid Mechanics
N2  - We are interested in studying a system coupling the compressible Navier–Stokes equations with an elastic structure located at the boundary of the fluid domain. Initially the fluid domain is rectangular and the beam is located on the upper side of the rectangle. The elastic structure is modeled by an Euler–Bernoulli damped beam equation. We prove the local in time existence of strong solutions for that coupled system.
KW  - fluid–structure interaction model
KW  - compressible fluid
KW  - Euler–Bernoulli damped beam
KW  - local existence
Y1  - 2020
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-235097
SN  - 1422-6928
VL  - 22
ER  - 
TY  - JOUR
A1  - Kalousek, Martin
A1  - Mitra, Sourav
A1  - Schlömerkemper, Anja
T1  - Existence of weak solutions of diffuse interface models for magnetic fluids
JF  - Proceedings in Applied Mathematics and Mechanics
N2  - In this article we collect some recent results on the global existence of weak solutions for diffuse interface models involving incompressible magnetic fluids. We consider both the cases of matched and unmatched specific densities. For the model involving fluids with identical densities we consider the free energy density to be a double well potential whereas for the unmatched density case it is crucial to work with a singular free energy density.
KW  - mathematics
KW  - magnetic fluids
KW  - diffuse interface models
Y1  - 2021
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-257642
VL  - 21
IS  - 1
ER  -