Global Well-Posedness of the Inviscid Heat-Conductive Resistive Compressible MHD in a Strip Domain

Authors

  • Yanjin Wang
  • Zhouping Xin

DOI:

https://doi.org/10.4208/cmr.2021-0061

Keywords:

Compressible MHD, inviscid heat-conducting flow, magnetic diffusion, global well-posedness, strip domain.

Abstract

This paper concerns the inviscid, heat-conductive and resistive compressible MHD system in a horizontally periodic flat strip domain. The global well-posedness of the problem around an equilibrium with the positive constant density and temperature and a uniform non-horizontal magnetic field is established, and the solution decays to the equilibrium almost exponentially. Our result reveals the strong stabilizing effect of the transversal magnetic field and resistivity as the global well-posedness of compressible inviscid heat-conductive flows in multi-D is unknown.

Published

2021-11-08

Issue

Section

Articles