Remarks on the regularity criterion to the Navier-Stokes equations via the gradient of one velocity component

被引：12
|
作者：
Ye, Zhuan [1 ]
机构：
[1] Beijing Normal Univ, Minist Educ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 435卷 / 02期
关键词：
Regularity criterion; Navier-Stokes equations; WEAK SOLUTIONS; GLOBAL REGULARITY; VORTICITY; TERMS;
D O I：
10.1016/j.jmaa.2015.11.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the classical three-dimensional (3D) incompressible Navier-Stokes equations. By making use of a new anisotropic Sobolev inequality, we improve a regularity criterion for the weak solution to the 3D Navier-Stokes equations involving the gradient of one velocity component. This result improves the previous work of Zhou and Pokorny (2010). (C) 2015 Elsevier Inc. All rights reserved.
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页码：1623 / 1633
页数：11
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