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

作　　者：Yanjin Wang Zhouping Xin 

机构地区：[1]School of Mathematical Sciences,Xiamen University,Xiamen,Fujian 361005,China [2]The Institute of Mathematical Sciences,The Chinese University of Hong Kong,Shatin,NT,Hong Kong,SAR,China

出　　处：《Communications in Mathematical Research》2022年第1期1-27,共27页数学研究通讯（英文版）

基　　金：the National Natural Science Foundation of China(11771360,12171401);the Natural Science Foundation of Fujian Province of China(2019J02003).;Z.P.Xin was supported by Zheng Ge Ru Foundation,Hong Kong RGC Earmarked Research Grants CUHK14305315,CUHK14302819,CUHK14300917,CUHK14302917,CUHK14300819,and Basic and Applied Basic Research Foundation of Guangdong Province(2020B1515310002).

摘　　要：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.

关 键 词：Compressible MHD inviscid heat-conducting flow magnetic diffusion glo bal well-posedness strip domain 

分 类 号：O175[理学—数学]