Global well-posedness for 2D inviscid and resistive MHD system near an equilibrium
Analysis of PDEs
2023-10-27 v1
Abstract
We study the global existence of classical solutions for two-dimensional incompressible MHD system with only magnetic diffusion. By using the time-weighted lower-order energy and uniformly bounded higher-order energy estimates, we prove the global existence result under the assumption that the initial magnetic field is close enough to a constant magnetic vorticity equilibrium.
Keywords
Cite
@article{arxiv.2310.17134,
title = {Global well-posedness for 2D inviscid and resistive MHD system near an equilibrium},
author = {Yuanyuan Qiao},
journal= {arXiv preprint arXiv:2310.17134},
year = {2023}
}
Comments
20 pages. arXiv admin note: text overlap with arXiv:2310.10914