Existence of weak solutions to a diffuse interface model involving magnetic fluids

0554012 - MÚ 2022 RIV DE eng C - Conference Paper (international conference)
Kalousek, Martin - Mitra, S. - Schlömerkemper, A.
Existence of weak solutions to a diffuse interface model involving magnetic fluids.
Proceedings in Applied Mathematics and Mechanics. Volume 21, Issue 1. Weinheim: Wiley, 2021 - (Kaliske, M.), č. článku e202100205. E-ISSN 1617-7061.
[92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Kassel (DE), 15.03.2021-19.03.2021]
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : magnetic fluid * free energy density
OECD category: Pure mathematics
https://doi.org/10.1002/pamm.202100205

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.
Permanent Link: http://hdl.handle.net/11104/0328658