A remark on the global regularity for the 3D Navier-Stokes equations

被引：10

作者：

Qian, Chenyin ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 57卷

关键词：

3D Navier-Stokes equations; Leray-Hopf weak solution; Regularity criterion; ONE VELOCITY COMPONENT; CRITERION;

D O I：

10.1016/j.aml.2016.01.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the case of Prodi-Serrin type regularity criterion involving u(3) and partial derivative(3)u(h). More precisely, it is shown that Leray's weak solutions of the three-dimensional Navier-Stokes equations become regular if the third component of velocity (or the gradient of the velocity field) satisfies the additional end-point Prodi-Serrin type condition. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：126 / 131

页数：6

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