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DECAY ESTIMATES FOR ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS IN BOUNDED DOMAIN

查看全文 作  者:Mohamed Ahmed [1]Abdallah;[2,3]江飞;[1]谭忠 高影响力作者 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高影响力机构 出  处:《Acta Mathematica Scientia》索引2012年第32卷第6期,共10页高影响力期刊 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 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. 关 键 词:Navier-Stokes equations weak solution decay estimates MAGNETOHYDRODYNAMIC
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