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.