Article ID Journal Published Year Pages File Type
4663560 Acta Mathematica Scientia 2012 10 Pages PDF
Abstract

In this paper, under the hypothesis that is upper bounded, we construct a Lyapunov functional for the multidimensional isentropic compressible magnetohydrodynamic equations and show that the weak solutions decay exponentially to the equilibrium state in L2 norm. Our result verifies that the method of Daoyuan Fang, Ruizhao Zi and Ting Zhang [1] can be adapted to magnetohydrodynamic equations.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)