Journal
APPLIED MATHEMATICS LETTERS
Volume 42, Issue -, Pages 41-46Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2014.11.004
Keywords
Incompressible MHD equations; Regularity criterion
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Funding
- NSFC [11371059]
- BNSF [2112023]
- Fundamental Research Funds for the Central Universities of China
- Youth Natural Science Foundation of Jiangxi Province [20132BAB211007]
- National Natural Science Foundation of China [11326138]
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In this paper we investigate the regularity criterion for the local in time classical solution to the 3D incompressible magnetohydrodynamic equations. We prove that if del x u belongs to L-2(0, T; (B) over dot(infinity infinity)(-1)), then the local solution (u, B) can be extended beyond time T. As a consequence, this result extends several previous works. (C) 2014 Elsevier Ltd. All rights reserved.
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