Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain

被引：88

作者：

Zhou, Y ^{[1
]}

机构：

[1] Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China

[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

来源：

MATHEMATISCHE ANNALEN | 2004年 / 328卷 / 1-2期

关键词：

Navier-Stokes equations; regularity criterion; integrability of pressure; a priori estimates;

D O I：

10.1007/s00208-003-0478-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the 3-D Navier-Stokes equations in the half-space R-+(3), or a bounded domain with smooth boundary, or else an exterior domain with smooth boundary. Some new sufficient conditions on pressure or the gradient of pressure for the regularity of weak solutions to the Navier-Stokes equations are obtained.

引用

页码：173 / 192

页数：20

共 26 条

[1]

[Anonymous], 1997, ADV DIFF EQUA

[2] Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations [J].

Berselli, LC ;

Galdi, GP .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (12) :3585-3595

[3] PARTIAL REGULARITY OF SUITABLE WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS [J].

CAFFARELLI, L ;

KOHN, R ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1982, 35 (06) :771-831

[4]

Chae D., 1999, ELECTRON J DIFFER EQ, V5, P1

[5] Regularity criterion in terms of pressure for the Navier-Stokes equations [J].

Chae, DH ;

Lee, JH .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (05) :727-735

[6]

da Veiga HB, 2000, J MATH FLUID MECH, V2, P99

[7]

daVeiga HB, 1995, CHINESE ANN MATH B, V16, P407

[8]

DAVEIGA HB, 1987, INDIANA U MATH J, V36, P149

[9]

DAVEIGA HB, 1997, DIFF INT EQS, V10, P381

[10] SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS IN LP AND REGULARITY OF WEAK SOLUTIONS OF THE NAVIER-STOKES SYSTEM [J].

GIGA, Y .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 62 (02) :186-212

← 1 2 3 →