Global Solutions of Nonlinear
Magnetohydrodynamics with Large Initial Data
Author: Gui-Qiang Chen and Dehua Wang
Title:
Global Solutions of Nonlinear
Magnetohydrodynamics with Large Initial Data
Abstract
A free boundary problem for nonlinear magnetohydrodynamics (MHD)
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 showed 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 magnetodynamic
effects.
An existence theorem of global solutions with large discontinuous
initial data is also established.
This article has appeared in:
Journal of Differential Equations vol 102,
pages ??? (2001)
This paper is available in the following formats:
A closely related paper is Change me.
Author Address
Department of Mathematics
Northwestern University
Evanston, IL 60208-2730
gqchen@math.nwu.edu