Global existence and convergence rates of smooth solutions for the full compressible MHD equations

In this paper, we consider the global smooth solutions and their decay for the full compressible magnetohydrodynamic equations in R (3). We prove the global existence of smooth solutions near the constant state in Sobolev norms by energy method and show the convergence rates of the L (p) -norm of these solutions to the constant state when the L (q) -norm of the perturbation is bounded.