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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 L 2 norm. Our result verifies that the method of Daoyuan Fang, Ruizhao Zi and Ting Zhang [1] can be adapted to magnetohydrodynamic equations. © 2012 Wuhan Institute of Physics and Mathematics.
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Acta Mathematica Scientia
ISSN: 0252-9602
Year: 2012
Issue: 6
Volume: 32
Page: 2211-2220
0 . 4 8 7
JCR@2012
1 . 2 0 0
JCR@2023
JCR Journal Grade:3
CAS Journal Grade:4
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