English

Boundary layer expansions of the steady MHD equations in a bounded domain

Analysis of PDEs 2024-10-30 v4

Abstract

In this paper, we investigate the validity of boundary layer expansions for the MHD system in a rectangle. We describe the solution up to any order when the tangential magnetic field is much smaller or much larger than the tangential velocity field, thereby extending a previous work of S.J. Ding, Z.L. Lin and F. Xie.

Keywords

Cite

@article{arxiv.2405.09726,
  title  = {Boundary layer expansions of the steady MHD equations in a bounded domain},
  author = {Dongfen Bian and Zhenjie Si},
  journal= {arXiv preprint arXiv:2405.09726},
  year   = {2024}
}