REGULARITY CRITERIA FOR WEAK SOLUTION TO THE 3D MAGNETOHYDRODYNAMIC EQUATIONS

In this article, regularity criteria for the 3D magnetohydrodynamic equations are investigated. Some sufficient integrability conditions on two components or the gradient of two components of u ＋ B and u - B in Morrey-Campanato spaces are obtained.

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Bibliographic Details
Published inActa mathematica scientia Vol. 32; no. 3; pp. 1063 - 1072
Main Author 王玉柱 王书彬 王银霞
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2012
School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, China%Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China
Subjects
35K15
35K45
Campanato空间
Criteria
Magnetohydrodynamic equations
Mathematical analysis
Morrey-Campanato space
Regularity
regularity criteria
Three dimensional
三维
充分条件
弱解
梯度
磁流体方程
Magnetohydrodynamic equations
Morrey-Campanato space
regularity criteria
35K15
35K45
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(12)60079-4

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Summary:In this article, regularity criteria for the 3D magnetohydrodynamic equations are investigated. Some sufficient integrability conditions on two components or the gradient of two components of u ＋ B and u - B in Morrey-Campanato spaces are obtained.
Bibliography:Magnetohydrodynamic equations; regularity criteria; Morrey-Campanato space
42-1227/O
In this article, regularity criteria for the 3D magnetohydrodynamic equations are investigated. Some sufficient integrability conditions on two components or the gradient of two components of u ＋ B and u - B in Morrey-Campanato spaces are obtained.
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SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(12)60079-4