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Global Well-posedness for 2D non-resistive MHD equations in half-space

Analysis of PDEs 2024-01-04 v1

Abstract

This paper focuses on the initial boundary value problem of two-dimensional non-resistive MHD equations in a half space. We prove that the MHD equations have a unique global strong solution around the equilibrium state (0,e1)(0,\bf{e_1}) for Dirichlet boundary condition of velocity and modified Neumann boundary condition of magnetic.

Keywords

Cite

@article{arxiv.2401.01704,
  title  = {Global Well-posedness for 2D non-resistive MHD equations in half-space},
  author = {Zhaoyun Zhang and Xiaopeng Zhao},
  journal= {arXiv preprint arXiv:2401.01704},
  year   = {2024}
}