The BKM criterion for the 3D Navier-Stokes equations via two velocity components

被引：34

作者：

Dong, Bo-Qing ^{[1
]}

Zhang, Zhifei ^{[2
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 04期

关键词：

Navier-Stokes equations; Beale-Kato-Majda criterion; WEAK SOLUTIONS; REGULARITY CRITERION;

D O I：

10.1016/j.nonrwa.2009.07.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the study of the regularity criterion of Leray-Hopf weak solutions to the 3D Navier-Stokes equations, the Beale-Kato-Majda type criterion is obtained in terms of the horizontal derivatives of the two velocity components integral(T)(0) parallel to del(h (u) over tilde (S))parallel to(B over dot infinity,infinity 0) ds < infinity, <(u)over tilde> = (u(1), u(2), 0), del(h)(u) over tilde = (partial derivative(1)(u) over tilde, partial derivative(2)(u) over tilde, 0). (C) 2010 Published by Elsevier Ltd

引用

页码：2415 / 2421

页数：7

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