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Open Access Research Article

Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations

Jianwen Zhang

Author Affiliations

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

Boundary Value Problems 2008, 2008:735846  doi:10.1155/2008/735846

Published: 27 November 2007

Abstract

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.