On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation
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.
Authors
- Christian Zillinger (ORCID: https://orcid.org/0000-0002-0480-2719)
- Niklas Knobel (ORCID: https://orcid.org/0000-0002-7031-3251)
Institutions
- Karlsruhe Institute of Technology (DE)
Publication Details
- Journal
- Journal of Nonlinear Science
- Published
- 2025-03-09
- DOI
- https://doi.org/10.1007/s00332-025-10148-5
- Citations
- 4
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 14.77
Funders
- Deutsche Forschungsgemeinschaft