A note on the regularity criteria for the Navier-Stokes equations

被引：6

作者：

Guo, Zhengguang ^{[1
]}

Gala, Sadek ^{[2
]}

机构：

[1] Wenzhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China

[2] Jazan Univ, Coll Sci, Dept Math, Jazan, Saudi Arabia

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 03期

关键词：

Navier-Stokes equations; Regularity criterion; A priori estimates; WEAK SOLUTIONS; PRESSURE; GRADIENT; TERMS;

D O I：

10.1016/j.aml.2011.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the regularity problem for 3D Navier-Stokes equations in a bounded domain with smooth boundary. A new sufficient condition which guarantees the regularity of weak solutions on the quotient del p/ (1 + |u|(delta)(1) + |del u|(delta)(2)) for the Navier-Stokes equations is established. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：305 / 309

页数：5

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