Boundary Value Problems
Volume 2008 (2008), Article ID 735846, 14 pages
Research Article

Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations

Jianwen Zhang

School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

Received 21 June 2007; Accepted 5 October 2007

Academic Editor: Colin Rogers

Copyright © 2008 Jianwen Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with an initial boundary value problem in one-dimensional magnetohydrodynamics. We prove the global existence, uniqueness, and stability of strong solutions for the planar magnetohydrodynamic equations for isentropic compressible fluids in the case that vacuum can be allowed initially.