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.

引用

页码：1623 / 1633

页数：11

共 50 条

[21] A REGULARITY CRITERION FOR THE ANGULAR VELOCITY COMPONENT IN AXISYMMETRIC NAVIER-STOKES EQUATIONS
Kreml, Ondrej
Pokorny, Milan
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[22] A REGULARITY CRITERION FOR THE NAVIER-STOKES EQUATIONS IN TERMS OF ONE DIRECTIONAL DERIVATIVE OF THE VELOCITY FIELD
Guo, Zhengguang
Gala, Sadek
ANALYSIS AND APPLICATIONS, 2012, 10 (04) : 373 - 380
[23] Remarks on regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure
Gala, Sadek
APPLICABLE ANALYSIS, 2013, 92 (01) : 96 - 103
[24] TWO COMPONENT REGULARITY FOR THE NAVIER-STOKES EQUATIONS
Fan, Jishan
Gao, Hongjun
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[25] A Regularity Criterion for the Navier-Stokes Equations in Terms of One Directional Derivative of the Velocity
Liu, Qiao
ACTA APPLICANDAE MATHEMATICAE, 2015, 140 (01) : 1 - 9
[26] A generalized regularity criterion for 3D Navier-Stokes equations in terms of one velocity component
Qian, Chenyin
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (04) : 3477 - 3494
[27] ON THE IMPROVED REGULARITY CRITERION OF THE SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
Gala, Sadek
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 35 (01): : 339 - 345
[28] A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient
Bosia, Stefano
Conti, Monica
Pata, Vittorino
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (07): : 1015 - 1025
[29] The anisotropic regularity criteria for 3D Navier-Stokes equations involving one velocity component
Qian, Chenyin
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 54
[30] A New Regularity Criterion for the 3D Navier-Stokes Equations via Two Entries of the Velocity Gradient Tensor
Zujin Zhang
Dingxing Zhong
Lin Hu
Acta Applicandae Mathematicae, 2014, 129 : 175 - 181

← 1 2 3 4 5 →