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.
| Author: | Martin Kalousek, Sourav MitraORCiD, Anja Schlömerkemper |
|---|---|
| URN: | urn:nbn:de:bvb:20-opus-257642 |
| Document Type: | Journal article |
| Faculties: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
| Language: | English |
| Parent Title (English): | Proceedings in Applied Mathematics and Mechanics |
| Year of Completion: | 2021 |
| Volume: | 21 |
| Issue: | 1 |
| Article Number: | e202100205 |
| Source: | Proceedings in Applied Mathematics and Mechanics 2021, 21(1):e202100205. DOI: 10.1002/pamm.202100205 |
| DOI: | https://doi.org/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): |  CC BY-NC-ND: Creative-Commons-Lizenz: Namensnennung, Nicht kommerziell, Keine Bearbeitungen 4.0 International |