Boundary Value Problems
Volume 2008 (2008), Article ID 735846, 14 pages
doi:10.1155/2008/735846

Global existence and uniqueness of strong solutions for the magnetohydrodynamic equations

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.