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
We discuss the existence and the number of periodic solutions of differential equation dx/dt=A_1(t)x+A_2(t)x^2+A_3(t)x^3/a_0(t)+a_1(t)x+a_2(t)x^2 (1) where A_i(t), a_j(t) (i=1,2,3;j=0,1,2) are continuous periodic func...We discuss the existence and the number of periodic solutions of differential equation dx/dt=A_1(t)x+A_2(t)x^2+A_3(t)x^3/a_0(t)+a_1(t)x+a_2(t)x^2 (1) where A_i(t), a_j(t) (i=1,2,3;j=0,1,2) are continuous periodic functions. The results of this paper extend the work of paper [1].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.
文摘We discuss the existence and the number of periodic solutions of differential equation dx/dt=A_1(t)x+A_2(t)x^2+A_3(t)x^3/a_0(t)+a_1(t)x+a_2(t)x^2 (1) where A_i(t), a_j(t) (i=1,2,3;j=0,1,2) are continuous periodic functions. The results of this paper extend the work of paper [1].
