The regularity criterion for 3D Navier-Stokes equations involving one velocity gradient component

被引：32

作者：

Fang, Daoyuan ^{[1
]}

Qian, Chenyin ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 78卷

关键词：

3D Navier-Stokes equations; Leray-Hopf weak solution; Regularity criterion; PRESSURE;

D O I：

10.1016/j.na.2012.09.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish sufficient conditions for the regularity of solutions of Navier-Stokes equations based on one of the nine entries of the gradient tensor. We improve the recent results of C.S. Cao, E.S. Titi [C.S. Cao, E.S. Titi, Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor, Arch. Ration. Mech. Anal. 202 (2011) 919-932] and Y. Zhou, M. Pokorny [Y. Zhou, M. Pokorny, On the regularity of the solutions of the Navier-Stokes equations via one velocity component, Nonlinearity 23 (2010) 1097-1107]. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：86 / 103

页数：18

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