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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.