A generalized regularity criterion for 3D Navier-Stokes equations in terms of one velocity component

被引：27

作者：

Qian, Chenyin ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年 / 260卷 / 04期

关键词：

3D Navier-Stokes equations; Leray-Hopf weak solution; Regularity criterion; WEAK SOLUTIONS; GRADIENT;

D O I：

10.1016/j.jde.2015.10.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study the global regularity of the 3D Navier-Stokes equations in terms of one velocity component. In particular, we establish a new version of regularity criterion in the framework of the anisotropic Lebesgue space. It is a generalization of the notable work of C. Cao and E.S. Titi (2011) [3]. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：3477 / 3494

页数：18

共 42 条

[1] [Anonymous], 2004, Applications of Mathematics
[2] [Anonymous], 2001, The Navier-Stokes equations. An elementary functional analytic approach
[3] [Anonymous], 1985, Appl. Math. Sci.
[4] [Anonymous], 1994, An introduction to the mathematical theory of the Navier-Stokes equations
[5] [Anonymous], 1963, NONLINEAR PROBLEMS
[6] [Anonymous], 1984, Navier-Stokes equations, theory and numerical analysis
[7] Global Regularity Criterion for the 3D Navier-Stokes Equations Involving One Entry of the Velocity Gradient Tensor
Cao, Chongsheng
Titi, Edriss S.
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2011, 202 (03) : 919 - 932
[8] SUFFICIENT CONDITIONS FOR THE REGULARITY TO THE 3D NAVIER STOKES EQUATIONS
Cao, Chongsheng
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 26 (04) : 1141 - 1151
[9] Regularity Criteria for the Three-dimensional Navier-Stokes Equations
Cao, Chongsheng
Titi, Edriss S.
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008, 57 (06) : 2643 - 2661
[10] Regularity criterion in terms of pressure for the Navier-Stokes equations
Chae, DH
Lee, JH
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (05) : 727 - 735

← 1 2 3 4 5 →