ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS  

作　　者：高真圣 谭忠 吴国春 

机构地区：[1]School of Mathematical Sciences, Huaqiao University [2]School of Mathematical Sciences, Xiamen University

出　　处：《Acta Mathematica Scientia》2013年第3期865-871,共7页数学物理学报（B辑英文版）

基　　金：Supported by NSFC (10976026);supported by the Fundamental Research Funds for the Central Universities (11QZR18);the Research Funds for high-level talents of Huaqiao University (12BS232)

摘　　要：In this article, we mainly study the local equation of energy for weak solutions of 3D MHD equations. We define a dissipation term D（u, B） that steins from an eventual lack of smoothness in the solution, and then obtain a local equation of energy for weak solutions of 3D MHD equations. Finally, we consider the 2D case at the end of this article.In this article, we mainly study the local equation of energy for weak solutions of 3D MHD equations. We define a dissipation term D（u, B） that steins from an eventual lack of smoothness in the solution, and then obtain a local equation of energy for weak solutions of 3D MHD equations. Finally, we consider the 2D case at the end of this article.

关 键 词：Energy dissipation INCOMPRESSIBLE MHD equations 

分 类 号：O361.3[理学—流体力学] O175[理学—力学]