Global classical solution to 3D compressible magnetohydrodynamic equations with large initial data and vacuum

Guangyi Hong, Xiaofeng Hou, Hongyun Peng +1

In this paper, we study the Cauchy problem of the isentropic compressible magnetohydrodynamic equations in ${\mathbb{R}}^3$. When $(\gamma -1{)}^{\frac{1}{6}}{E}_0^{\frac{1}{2}}$, together…