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

作　　者：Zhao-xia LIU Xing-jiang YU 

机构地区：[1]Department of information and Computational Science,School of Sciences,Minzu University of China [2]College of Mathematics Science,Liaocheng University

出　　处：《Acta Mathematicae Applicatae Sinica》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)

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.

关 键 词：MHD equation strong solution asymptotic behavior HALF-SPACE 

分 类 号：O175[理学—数学]