Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663560 | Acta Mathematica Scientia | 2012 | 10 Pages |
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.
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