数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (3): 1063-1072.doi: 10.1016/S0252-9602(12)60079-4

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REGULARITY CRITERIA FOR WEAK SOLUTION TO THE 3D MAGNETOHYDRODYNAMIC EQUATIONS

王玉柱1|王书彬2|王银霞1   

  1. 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
  • 收稿日期:2011-01-22 修回日期:2011-03-09 出版日期:2012-05-20 发布日期:2012-05-20
  • 基金资助:

    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.

REGULARITY CRITERIA FOR WEAK SOLUTION TO THE 3D MAGNETOHYDRODYNAMIC EQUATIONS

 WANG Yu-Zhu1, WANG Shu-Bin2, WANG Yin-Xia1   

  1. 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:2011-01-22 Revised:2011-03-09 Online:2012-05-20 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.

摘要:

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.

关键词: Magnetohydrodynamic equations, regularity criteria, Morrey-Campanato space

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.

Key words: Magnetohydrodynamic equations, regularity criteria, Morrey-Campanato space

中图分类号: 

  • 35K15