A regularity criterion for the Navier-Stokes equations

被引：31

作者：

Bae, Hyeong-Ohk ^{[1
]}

Choe, Hi Jun

机构：

[1] Ajou Univ, Dept Math, Suwon 443749, Gyeonggi Do, South Korea

[2] Yonsei Univ, Dept Math, Seoul 120749, South Korea

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 32卷 / 7-9期

关键词：

Navier-Stokes; Prodi-Ohyama-Serrin condition; regularity; two-component;

D O I：

10.1080/03605300701257500

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a weak solution u = (u(1), u(2), u(3)) to the Navier-Stokes equations is strong, if any two components of u satisfy Prodi-Ohyama-Serrin's criterion. As a local regularity criterion, we prove u is bounded locally if any two components of the velocity lie in L-6,L-infinity.

引用

页码：1173 / 1187

页数：15

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