Global strong solution to 3D full compressible magnetohydrodynamic flows with vacuum at infinity

In this paper, we consider the Cauchy problem of the full compressible magnetohydrodynamic equations in R 3 . When ‖ ρ 0 ‖ L 1 + ‖ H 0 ‖ L 2 is suitably small, we establish the global existence of the strong solution, where ρ 0 and H 0 represent the initial density and magnetic field respectively. Our result shows that the strong solution may have large oscillations and can contain vacuum states.