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ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS 被引量:3

ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS
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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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 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)
关键词 Energy dissipation INCOMPRESSIBLE MHD equations Energy dissipation incompressible MHD equations
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