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论文类型： 期刊论文

发表时间： 2017-07-01

发表刊物： ACTA MATHEMATICA SINICA-ENGLISH SERIES

收录刊物： SCIE、Scopus

卷号： 33

期号： 7

页面范围： 969-980

ISSN号： 1439-8516

关键字： Suitable weak solution; MHD equations; regularity criterion

摘要： In this paper, we prove that suitable weak solution ( u, b) of the 3-D MHD equations can be extended beyond T if u. L-infinity(0, T; L-3 (R-3)) and the horizontal components b(h) of the magnetic field satisfies the well-known Ladyzhenskaya-Prodi-Serrin condition, which improves the corresponding regularity criterion by Mahalov-Nicolaenko-Shilkin.