Regularity of large solutions for the compressible magnetohydrodynamic equations

Boundary value problems

Xin Liu¹  Xiaozhen Peng²  Yuming Qin⁴ 

[1] College of Information Sciences and Technology, Donghua University, Songjiang, Shanghai, People'Department of Applied Mathematics, College of Sciences, Donghua University, Songjiang, Shanghai, People'Songyin School, Jinshan, Shanghai, People's Republic of China

关键词: magnetohydrodynamics (MHD);    global solutions;    regularity;    initial-boundary value problem;   

DOI  :  10.1186/1687-2770-2011-30

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY