Regularity of large solutions for the compressible magnetohydrodynamic equations

Abstract

In this paper, we consider the initial-boundary value problem of one-dimensional compressible magnetohydrodynamics flows. The existence and continuous dependence of global solutions in H 1 have been established in Chen and Wang (Z Angew Math Phys 54, 2003). We will obtain the regularity of global solutions under certain assumptions on the initial data by deriving some new a priori estimates.