ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS

doi:10.1016/S0252-9602(13)60046-6

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (3): 865-871.doi: 10.1016/S0252-9602(13)60046-6

ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS

高真圣|谭忠*|吴国春

School of Mathematical Sciences, Huaqiao University, Fujian 362021, China；
ScSchool of Mathematical Sciences, Xiamen University, Fujian 361005, China

收稿日期:2012-02-27 修回日期:2012-06-30 出版日期:2013-05-20 发布日期:2013-05-20
通讯作者: 谭忠，ztan85@163.com E-mail:gaozhensheng@hqu.edu.cn；ztan85@163.com; guochunwu@126.com
基金资助:
Supported by NSFC (10976026), and the first author is also supported by the Fundamental Research Funds for the Central Universities (11QZR18) and the Research Funds for high-level talents of Huaqiao University (12BS232).

ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS

GAO Zhen-Sheng, TAN Zhong*, WU Guo-Chun

School of Mathematical Sciences, Huaqiao University, Fujian 362021, China；
ScSchool of Mathematical Sciences, Xiamen University, Fujian 361005, China

Received:2012-02-27 Revised:2012-06-30 Online:2013-05-20 Published:2013-05-20
Contact: TAN Zhong，ztan85@163.com E-mail:gaozhensheng@hqu.edu.cn；ztan85@163.com; guochunwu@126.com
Supported by:
Supported by NSFC (10976026), and the first author is also supported by the Fundamental Research Funds for the Central Universities (11QZR18) and the Research Funds for high-level talents of Huaqiao University (12BS232).

摘要/Abstract

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 stems 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

Abstract:

Key words: Energy dissipation, incompressible, MHD equations

中图分类号:

35Q35

高真圣, 谭忠, 吴国春. ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS[J]. 数学物理学报(英文版), 2013, 33(3): 865-871.

GAO Zhen-Sheng, TAN Zhong, WU Guo-Chun. ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS[J]. Acta mathematica scientia,Series B, 2013, 33(3): 865-871.

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ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS

ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS

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