Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 72, Issue 9-10, Pages 3643-3648Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2009.12.045
Keywords
MHD equations; Regularity criterion; Morrey-Campanato spaces
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Funding
- Program for New Century Excellent Talents in Universities [07-0299]
- ZJNSF [R6090109]
- NSFC [10971197]
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In this paper, we consider regularity criterion for solutions to the 3D viscous incompressible MHD equations in Morrey-Campanato spaces. It is proved that if the vorticity field omega = del x u belongs to (M) over dot(2), (3/r) for 0 < r <= 1 on [0, T], then the solution remains smooth on [0, T]. (C) 2009 Elsevier Ltd. All rights reserved.
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