Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 396, Issue 1, Pages 108-118Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2012.05.076
Keywords
MHD equations; Regularity criteria; Partial velocity field
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Funding
- Zhejiang Innovation Project [T200905]
- ZJNSF [R6090109, LQ12A01009]
- NSFC [10971197]
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In this paper we consider the regularity criteria for solutions to the 3D incompressible magnetohydrodynamics (MFID) equations. The first one involves del(h)u = (partial derivative(1)u, partial derivative(2)u) and partial derivative(3)b. Then, the criterion concerning del(h)u and del(h)b = (partial derivative(1)b, partial derivative(2)b) is presented. Finally, we show that the weak solution (u, b) is actually regular, provided that u(3), partial derivative(3)u, b and partial derivative(3)b are in suitable Serrin-type integrability classes, respectively. (C) 2012 Elsevier Inc. All rights reserved.
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