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 cons...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.展开更多
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).
文摘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.
基金Supported by the National Natural Science Foundation of China under Grant No.60173039(国家自然科学基金)the Special Foundation of 985 Project of SUN YAT-SEN University of China (中山大学985工程专项资金)