A logarithmically improved regularity criterion for the Navier-Stokes equations

被引：0

作者：

Liu, Qiao ^{[1
]}

Zhao, Jihong ^{[1
]}

Cui, Shangbin ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2012年 / 167卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes equations; Regularity; Mild solution; SPACES;

D O I：

10.1007/s00605-011-0313-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we prove a logarithmically improved regularity criterion in terms of the Besov space norm for the Navier-Stokes equations. The result shows that if a mild solution u satisfies for some 0 a parts per thousand currency sign r < 1 and , then u is regular at t = T.

引用

页码：503 / 509

页数：7

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