Journal
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Volume 41, Issue 10, Pages 1174-1180Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2006.12.001
Keywords
MHD equations; regularity criterion; a priori estimates
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In this paper we consider the regularity criteria for weak solutions to the 3D MHD equations. It is proved that under the condition b being in the Serrin's regularity class, if the pressure p belongs to L-alpha,L-gamma with + 2/alpha + 3/gamma <= 2 or the gradient field of pressure del p belongs to L-alpha,L-gamma with 2/alpha + 3/gamma <= on [0, T], then the solution remains smooth on [0, T]. (c) 2007 Elsevier Ltd. All rights reserved.
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