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

被引：0
|
作者：
Zhao, Jihong [1 ]
Liu, Qiao [2 ]
机构：
[1] Northwest A&F Univ, Coll Sci, Yangling 712100, Peoples R China
[2] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2014年 / 34卷 / 02期
关键词：
Generalized magneto-hydrodynamic equations; regularity criterion; multiplier spaces; NAVIER-STOKES EQUATIONS; VISCOUS MHD EQUATIONS; WEAK SOLUTIONS; TERMS;
D O I：
10.1016/S0252-9602(14)60029-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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).
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页码：568 / 574
页数：7
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