Articles

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

  • ZHAO Ji-Hong ,
  • LIU Qiao
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  • College of Science, Northwest A&F University, Yangling 712100, China; Department of Mathematics, Hunan Normal University, Changsha 410081, China

Received date: 2013-01-09

  Revised date: 2013-03-22

  Online published: 2014-03-20

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).

Cite this article

ZHAO Ji-Hong , LIU Qiao . LOGARITHMICALLY IMPROVED REGULARITY CRITERION FOR THE 3D GENERALIZED MAGNETO-HYDRODYNAMIC EQUATIONS[J]. Acta mathematica scientia, Series B, 2014 , 34(2) : 568 -574 . DOI: 10.1016/S0252-9602(14)60029-1

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