Global solutions of nonlinear magnetohydrodynamics with large initial data

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:182

Article

Chen, GQ ; Wang, DH

关键词: magnetohydrodynamics (MHD);    free boundary;    global solutions;    existence;    uniqueness;    regularity;    large discontinuities;   

DOI  :  10.1006/jdeq.2001.4111

来源: Elsevier

【 摘 要 】

A free boundary problem for nonlinear magnetohydrodynamics with general large initial data is investigated. The existence, uniqueness, and regularity of global solutions are established with large initial data in H-1. It is shown that neither shock waves nor vacuum and concentration in the Solutions are developed in a finite time, although there is a complex interaction between the hydrodynamic and magneto-dynamic effects. An existence theorem of global solutions with large discontinuous initial data is also established. (C) 1002 Elsevier Science (USA).

【 授权许可】

Free