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发布时间：2019-03-09

论文类型：期刊论文

发表时间：2014-07-01

发表刊物：JOURNAL D ANALYSE MATHEMATIQUE

收录刊物：SCIE

卷号：123

页面范围：139-170

ISSN号：0021-7670

摘要：We establish some interior regularity criteria for suitable weak solutions of the 3-D Navier-Stokes equations which allow the vertical part of the velocity to be large under the local scaling invariant norm. As an application, we improve Ladyzhenskaya-Prodi-Serrin's criterion and Escauriza-Seregin-verak's criterion. We also show that if a weak solution u satisfies
   parallel to u(.,t)parallel to L-P <= C(-t)((3-P)/2p)
   for some 3 < p < a, then the number of singular points is finite.