@article{KalousekMitraSchloemerkemper2021, author = {Kalousek, Martin and Mitra, Sourav and Schl{\"o}merkemper, Anja}, title = {Existence of weak solutions of diffuse interface models for magnetic fluids}, series = {Proceedings in Applied Mathematics and Mechanics}, volume = {21}, journal = {Proceedings in Applied Mathematics and Mechanics}, number = {1}, doi = {10.1002/pamm.202100205}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-257642}, year = {2021}, abstract = {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.}, language = {en} } @article{Mitra2020, author = {Mitra, Sourav}, title = {Local Existence of Strong Solutions of a Fluid-Structure Interaction Model}, series = {Journal of Mathematical Fluid Mechanics}, volume = {22}, journal = {Journal of Mathematical Fluid Mechanics}, issn = {1422-6928}, doi = {10.1007/s00021-020-00520-8}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-235097}, year = {2020}, abstract = {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.}, language = {en} }