On the Sobolev stability threshold for the 2D MHD equations with horizontal magnetic dissipation
Knobel, Niklas 1; Zillinger, Christian
1
1 Institut für Analysis (IANA), Karlsruher Institut für Technologie (KIT)
11 Institut für Analysis (IANA), Karlsruher Institut für Technologie (KIT)
Abstract:
In this article we consider the stability threshold of the 2D magnetohydrodynamics (MHD) equations near a combination of Couette flow and large constant magnetic field. We study the partial dissipation regime with full viscous and only horizontal magnetic dissipation. In particular, we show that this regime behaves qualitatively differently than both the fully dissipative and the non-resistive setting.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 09.2023 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000163003 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 32 S. |
| Serie | CRC 1173 Preprint ; 2023/21 |
| Projektinformation | SFB 1173, 258734477 (DFG, DFG KOORD, SFB 1173/3) |
| Externe Relationen | Abstract/Volltext |
| Schlagwörter | Magnetohydrodynamics, partial dissipation, stability threshold |
| Nachgewiesen in | arXiv |
| Relationen in KITopen |