English

Global Regularity of 2D Generalized MHD Equations with Magnetic Diffusion

Analysis of PDEs 2015-06-17 v1

Abstract

This paper is concerned with the global regularity of the 2D (two-dimensional) generalized magnetohydrodynamic equations with only magnetic diffusion Λ2βb\Lambda^{2\beta} b. It is proved that when β>1\beta>1 there exists a unique global regular solution for this equations. The obtained result improves the previous known one which requires that β>32\beta>\frac32.

Keywords

Cite

@article{arxiv.1309.5819,
  title  = {Global Regularity of 2D Generalized MHD Equations with Magnetic Diffusion},
  author = {Quansen Jiu and Jiefeng Zhao},
  journal= {arXiv preprint arXiv:1309.5819},
  year   = {2015}
}

Comments

6 pages

R2 v1 2026-06-22T01:32:15.881Z