GLOBAL CLASSICAL SOLUTIONS TO 3D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH LARGE OSCILLATIONS AND VACUUM.

We consider the Cauchy problem of three-dimensional isentropic compressible magnetohydrodynamic equations in the present paper. For regular initial data with small energy but possibly large oscillations, we prove the global well-posedness of classical solution, where the flow density is allowed to contain vacuum states, and the large-time behavior of the solution is also shown. [ABSTRACT FROM AUTHOR]