Regularity of large solutions for the compressible magnetohydrodynamic equations
1 College of Information Sciences and Technology, Donghua University, Songjiang Shanghai, 201620, People's Republic of China
2 Department of Applied Mathematics, College of Sciences, Donghua University, Songjiang Shanghai 201620, People's Republic of China
3 Songyin School, Jinshan Shanghai, 201504, People's Republic of China
Boundary Value Problems 2011, 2011:30 doi:10.1186/1687-2770-2011-30Published: 10 October 2011
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 H1 have been established in Chen and Wang (Z Angew Math Phys 54, 608-632, 2003). We will obtain the regularity of global solutions under certain assumptions on the initial data by deriving some new a priori estimates.