English

Global smooth solutions of MHD equations with large data

Analysis of PDEs 2019-06-13 v3

Abstract

In this paper, we establish the global existence of smooth solutions of the three-dimensional MHD system for a class of large initial data. Both the initial velocity and magnetic field can be arbitrarily large in the critical norm.

Keywords

Cite

@article{arxiv.1512.00646,
  title  = {Global smooth solutions of MHD equations with large data},
  author = {Yurui Lin and Huali Zhang and Yi Zhou},
  journal= {arXiv preprint arXiv:1512.00646},
  year   = {2019}
}

Comments

This paper was published in JDE in 2016, but there is a small mistake in the original paper which is now corrected in this version. We would like to thank Prof. Chemin for pointing out this mistake to us

R2 v1 2026-06-22T11:59:29.801Z