Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations

Abstract

In this paper, we are concerned with Cauchy problem for the multi-dimensional (N = 3) non-isentropic full compressible magnetohydrodynamic equations. We prove the existence and uniqueness of a global strong solution to the system for the initial data close to a stable equilibrium state in critical Besov spaces. Our method is mainly based on the uniform estimates in Besov spaces for the proper linearized system with convective terms.