Global strong solution for 3D compressible heat-conducting magnetohydrodynamic equations revisited

We revisit the 3D Cauchy problem of compressible heat-conducting magnetohydrodynamic equations with vacuum as far field density. By delicate energy method, we derive global existence and uniqueness strong solutions provided that (??0?L?+1)[??0?L3+(??0?L?+1)2(??0u0?L22+?b0?L22)][??u0?L22+(??0?L?+1)(??0E0?L22+??b0?L22)] is properly small. In particular, smallness condition independent any norms initial data. This work improves our previous results [17], [18].