Stability for the 2D incompressible MHD equations with only magnetic diffusion
Analysis of PDEs
2024-02-16 v2
Abstract
This paper presents a global stability result on perturbations near a background magnetic field to the 2D incompressible magnetohydrodynamic (MHD) equations with only magnetic diffusion on the periodic domain. The stability result provides a significant example for the stabilizing effects of the magnetic field on electrically conducting fluids. In addition, we obtain an explicit large-time decay rate of the solutions.
Cite
@article{arxiv.2307.12197,
title = {Stability for the 2D incompressible MHD equations with only magnetic diffusion},
author = {Xiaoping Zhai},
journal= {arXiv preprint arXiv:2307.12197},
year = {2024}
}
Comments
I have modified a typo in the main theorem. J. Differential Equations 374 (2023), 267-278