Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 401, Issue 1, Pages 66-71Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2012.11.022
Keywords
Magneto-hydrodynamic equations; Regularity criterion; Global regularity; a priori estimates
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Funding
- National Natural Science Foundation of China [61262026]
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In this paper, we consider the Cauchy problem for the 3D viscous MHD equations, and provide some regularity criteria involving only one directional derivative of the pressure, say partial derivative(3)p. In particular, if partial derivative(3)p is an element of L-alpha(0, T; L-beta(R-3)) with 2/alpha + 3/beta = 2, 3/2 <= beta <= 3, then the solution remains smooth on [0, T]. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.
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