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论文类型： 期刊论文

发表时间： 2017-04-01

发表刊物： SCIENCE CHINA-MATHEMATICS

收录刊物： SCIE、Scopus

卷号： 60

期号： 4

页面范围： 637-650

ISSN号： 1674-7283

关键字： Navier-Stokes equations; interior regularity criterion; BMO space; Besov space

摘要： Let u = (u (h), u (3)) be a smooth solution of the 3-D Navier-Stokes equations in a"e(3) x [0, T). It was proved that if u (3) a L (a)(0, T; (B)over dot, (p,q) (-1+3/p) (a"e(3))) for 3 < p,q < a and u (h) a L (a)(0, T; BMO-1(a"e(3))) with u (h)(T) a VMO-1(a"e(3)), then u can be extended beyond T. This result generalizes the recent result proved by Gallagher et al. (2016), which requires u a L (a)(0, T; (B)over dot, (p,q) (-1+3/p) (a"e(3))). Our proof is based on a new interior regularity criterion in terms of one velocity component, which is independent of interest.