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

• 作者: Yanjin Wang Zhouping Xin
• 来源期刊: 数学研究通讯
• 年，卷（期）: 2022,（1）
• 页码范围: 1-27
• 页数: 27页
• 语种: 英文
• DOI: 10.4208/cmr.2021-0061

摘要

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