期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 396, 期 1, 页码 345-350出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2012.06.016
关键词
MHD equations; Weak solutions; Regularity criterion
资金
- Zhejiang Innovation [T200905]
- ZJNSF [R6090109]
- NSFC [10971197]
In this paper we study the global regularity issue for the 3D incompressible MHD equations. It is proved that if the pressure P satisfies partial derivative P-3 is an element of L-beta (0, T; L-mu (R-3)), with 2/beta + 3/mu <= 2, 3 <= mu < + infinity and 1 < beta < + infinity, then the corresponding weak solution (u, b) is regular on [0, T]. (C) 2012 Elsevier Inc. All rights reserved.
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