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Long Time L^1-behavior for the Incompressible Magneto-hydrodynamic Equations in a Half-space

Long Time L^1-behavior for the Incompressible Magneto-hydrodynamic Equations in a Half-space
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摘要 The large time Ll-behavior of the strong solution （including the first and second order spacial derivatives） to the incompressible magneto-hydrodynamic （MHD） equations is given in a half-space. The main tool employed in this article is a new weighted estimate for the Stokes flow in L1（Rn＋）, such a study is of independent interest. The large time Ll-behavior of the strong solution （including the first and second order spacial derivatives） to the incompressible magneto-hydrodynamic （MHD） equations is given in a half-space. The main tool employed in this article is a new weighted estimate for the Stokes flow in L1（Rn＋）, such a study is of independent interest.
作者 Zhao-xia LIU Xing-jiang YU
机构地区 Department of information and Computational Science College of Mathematics Science
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2016年第4期933-944,共12页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China(Grant No.11611540331) Scientific Research Award Foundation of Minzu University of China(No.2016LXY08)
关键词 MHD equation strong solution asymptotic behavior HALF-SPACE MHD equation strong solution asymptotic behavior half-space
分类号 O175 [理学—基础数学]
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参考文献27

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Acta Mathematicae Applicatae Sinica
2016年 第4期

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