Global existence of 2D electron MHD near a steady state
Analysis of PDEs
2023-06-23 v1
Abstract
We study the electron magnetohydrodynamics (MHD) in two dimensional geometry, which has a rich family of steady states. In an anisotropic resistivity context, we show global in time existence of small smooth solution near a shear type steady state. Convergence rate of the solution to the steady state is also obtained.
Cite
@article{arxiv.2306.13036,
title = {Global existence of 2D electron MHD near a steady state},
author = {Mimi Dai},
journal= {arXiv preprint arXiv:2306.13036},
year = {2023}
}
Comments
56 pages