Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
Boundary Value Problems 2008, 2008:735846 doi:10.1155/2008/735846Published: 27 November 2007
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.