ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS

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 c...

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Bibliographic Details
Published inActa mathematica scientia Vol. 33; no. 3; pp. 865 - 871
Main Author 高真圣 谭忠 吴国春
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2013
School of Mathematical Sciences, Huaqiao University, Fujian 362021, China
School of Mathematical Sciences, Xiamen University, Fujian 361005, China%School of Mathematical Sciences, Xiamen University, Fujian 361005, China
Subjects
35Q35
Dissipation
Energy dissipation
incompressible
Magnetohydrodynamics
Mathematical analysis
MHD
MHD equations
MHD方程
Smoothness
Stems
Three dimensional
Two dimensional
不可压
弱解
最终解
消耗
磁流体方程
耗散项
能量方程
MHD equations
incompressible
Energy dissipation
35Q35
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(13)60046-6

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Summary: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.
Bibliography:Energy dissipation; incompressible; MHD equations
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.
42-1227/O
Zhensheng GAO Zhong TAN Guochun WU（1.School of Mathematical Sciences, Huaqiao University, Fujian 362021, China School of Mathematical Sciences, Xiamen University, Fujian 361005, China;2.School of Mathematical Sciences, Xiamen University, Fujian 361005, China）
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(13)60046-6