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论文类型： 期刊论文

发表时间： 2018-05-01

发表刊物： DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

收录刊物： SCIE、Scopus

卷号： 38

期号： 5

页面范围： 2609-2627

ISSN号： 1078-0947

关键字： Interior regularity criteria; Navier-Stokes equations; LPS criterion; harmonic function; suitable weak solution

摘要： We present some interior regularity criteria of the 3-D Navier-Stokes equations involving two components of the velocity. These results in particular imply that if the solution is singular at one point, then at least two components of the velocity have to blow up at the same point.