Regularity Criteria for the Three-dimensional Navier-Stokes Equations

被引：171

作者：

Cao, Chongsheng ^{[1
]}

Titi, Edriss S. ^{[2
,3
,4
]}

机构：

[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA

[2] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

[3] Univ Calif Irvine, Dept Mech & Aerosp Engn, Irvine, CA 92697 USA

[4] Weizmann Inst Sci, Dept Comp Sci & Appl Math, IL-76100 Rehovot, Israel

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2008年 / 57卷 / 06期

关键词：

Three-dimensional Navier-Stokes equations; regularity criterion; global regularity;

D O I：

10.1512/iumj.2008.57.3719

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the three-dimensional Navier-Stokes equations subject to periodic boundary conditions or in the whole space. We provide sufficient conditions, in terms of one component of the velocity field, or alternatively in terms of one component of the pressure gradient, for the regularity of strong solutions to the three-dimensional Navier-Stokes equations.

引用

页码：2643 / 2661

页数：19

共 48 条

[1]

Adams R., 1975, Sobolev Spaces

[2]

[Anonymous], 2002, ADV MATH SCI APPL

[3]

[Anonymous], 2002, METHODS APPL ANAL, DOI DOI 10.4310/MAA.2002.V9.N4.A5

[4]

Berselli L.C., 2002, DIFFER INTEGRAL EQU, V15, P1129