DECAY ESTIMATES FOR ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS IN BOUNDED DOMAIN  

作　　者：Mohamed Ahmed Abdallah 江飞 谭忠 

机构地区：[1]School of Mathematical Sciences,Xiamen University [2]College of Mathematics and Computer Science,Fuzhou University [3]Institute of Applied Physics and Computational Mathematics

出　　处：《Acta Mathematica Scientia》2012年第6期2211-2220,共10页数学物理学报（B辑英文版）

基　　金：Supported by the National Natural Science Foundation of China(10976026);the Fujian Provincial Department of Science and Technology(JK2009045)

摘　　要：In this paper, under the hypothesis that y 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 I1] can be adapted to magnetohydrodynamic equations.In this paper, under the hypothesis that y 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 I1] can be adapted to magnetohydrodynamic equations.

关 键 词：Navier-Stokes equations weak solution decay estimates magnetohydrody-namic 

分 类 号：O175[理学—数学]