A SERRIN-TYPE REGULARITY CRITERION FOR THE NAVIER-STOKES EQUATIONS VIA ONE VELOCITY COMPONENT

被引：29

作者：

Zhang, Zujin ^{[1
,2
]}

机构：

[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China

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

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2013年 / 12卷 / 01期

关键词：

Navier-Stokes equations; regularity; WEAK SOLUTIONS; TERMS; VORTICITY; DIRECTION; PRESSURE;

D O I：

10.3934/cpaa.2013.12.117

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Cauchy problem for the 3D Navier-Stokes equations, and prove some scalaring-invariant regularity criteria involving only one velocity component.

引用

页码：117 / 124

页数：8

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