Global regularity criterion for the Navier-Stokes equations based on the direction of vorticity

被引：4

作者：

Zhang, Zujin ^{[1
]}

Wang, Weihua ^{[2
]}

Zhou, Yong ^{[2
,3
]}

机构：

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

[2] Sun Yat Sen Univ, Sch Math Zhuhai, Zhuhai, Peoples R China

[3] Zhejiang Normal Univ, Dept Math, Jinhua, Zhejiang, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 18期

基金：

中国国家自然科学基金;

关键词：

direction of vorticity; Navier-Stokes equations; regularity criteria; WEAK SOLUTIONS; INTERIOR REGULARITY; GEOMETRIC CONSTRAINTS; BESOV-SPACES; LOCALIZATION; TERMS; FLOWS;

D O I：

10.1002/mma.5818

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the regularity criterion for the Navier-Stokes equations and show that the (beta (1),beta (2),beta (3))-Holder continuity assumption in (x(1),x(2),x(3)) on the direction of the vorticity ensures the regularity of the solution. This may be viewed as an extension of many previous results, since some of the beta (i) can be arbitrarily small.

引用

页码：7126 / 7134

页数：9

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