On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation
Analysis of PDEs
2023-09-04 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2309.00496,
title = {On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation},
author = {Niklas Knobel and Christian Zillinger},
journal= {arXiv preprint arXiv:2309.00496},
year = {2023}
}
Comments
31 pages; comments welcome