Existence of weak solutions of diffuse interface models for magnetic fluids

Please always quote using this URN: urn:nbn:de:bvb:20-opus-257642
  • 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.

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Author: Martin Kalousek, Sourav MitraORCiD, Anja Schlömerkemper
Document Type:Journal article
Faculties:Fakultät für Mathematik und Informatik / Institut für Mathematik
Parent Title (English):Proceedings in Applied Mathematics and Mechanics
Year of Completion:2021
Article Number:e202100205
Source:Proceedings in Applied Mathematics and Mechanics 2021, 21(1):e202100205. DOI: 10.1002/pamm.202100205
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Tag:diffuse interface models; magnetic fluids; mathematics
Release Date:2022/03/23
Licence (German):License LogoCC BY-NC-ND: Creative-Commons-Lizenz: Namensnennung, Nicht kommerziell, Keine Bearbeitungen 4.0 International