Logarithmically improved regularity criterion for the 3D generalized magneto-hydrodynamic equations
- Authors
- Type
- Published Article
- Journal
- Acta Mathematica Scientia
- Publication Date
- Jan 01, 2014
- Volume
- 34
- Issue
- 2
- Pages
- 568–574
- Identifiers
- DOI: 10.1016/S0252-9602(14)60029-1
- Source
- Elsevier
- Keywords
- License
- Unknown
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).