Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (2): 568-574.doi: 10.1016/S0252-9602(14)60029-1

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LOGARITHMICALLY IMPROVED REGULARITY CRITERION FOR THE 3D GENERALIZED MAGNETO-HYDRODYNAMIC EQUATIONS

 ZHAO Ji-Hong*, LIU Qiao   

  1. College of Science, Northwest A&F University, Yangling 712100, China; Department of Mathematics, Hunan Normal University, Changsha 410081, China
  • Received:2013-01-09 Revised:2013-03-22 Online:2014-03-20 Published:2014-03-20
  • Contact: ZHAO Ji-Hong,zhaojihmath@gmail.com E-mail:zhaojihmath@gmail.com;liuqao2005@163.com
  • Supported by:

    This work is partially supported by NSFC (11171357).

Abstract:

This article proves the logarithmically improved Serrin´s criterion for solutions of the 3D generalized magneto-hydrodynamic equations in terms of the gradient of the velocity field, which can be regarded as improvement of results in [10] (Luo Y W. On the regularity of generalized MHD equations. J Math Anal Appl, 2010, 365: 806–808) and [18] (Zhang Z J. Remarks on the regularity criteria for generalized MHD equations. J Math Anal Appl, 2011, 375: 799–802).

Key words: Generalized magneto-hydrodynamic equations, regularity criterion, multiplier spaces

CLC Number: 

  • 35B65
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