Articles

REGULARITY CRITERIA FOR WEAK SOLUTION TO THE 3D MAGNETOHYDRODYNAMIC EQUATIONS

  • WANG Yu-Zhu ,
  • WANG Shu-Bin ,
  • WANG Yin-Xia
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  • 1. School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, China;
    2. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China

Received date: 2011-01-22

  Revised date: 2011-03-09

  Online published: 2012-05-20

Supported by

This work was supported in part by the NNSF of China (11101144, 11171377) and Research Initiation Project for High-level Talents (201031) of North China University of Water Resources and Electric Power.

Abstract

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.

Cite this article

WANG Yu-Zhu , WANG Shu-Bin , WANG Yin-Xia . REGULARITY CRITERIA FOR WEAK SOLUTION TO THE 3D MAGNETOHYDRODYNAMIC EQUATIONS[J]. Acta mathematica scientia, Series B, 2012 , 32(3) : 1063 -1072 . DOI: 10.1016/S0252-9602(12)60079-4

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