Regularity Criterion for Weak Solutions to the Navier-Stokes Equations in Terms of the Gradient of the Pressure

被引：23

作者：

Fan, Jishan ^{[2
]}

Ozawa, Tohru ^{[1
]}

机构：

[1] Waseda Univ, Dept Appl Phys, Tokyo 1698555, Japan

[2] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2008年 / 2008卷 / 1期

关键词：

D O I：

10.1155/2008/412678

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a regularity criterion. del pi is an element of L-2/3 (0,T; BMO) for weak solutions to the Navier-Stokes equations in three-space dimensions. This improves the available result with L-2/3 (0,T; L-infinity). Copyright (C) 2008 J. Fan and T. Ozawa.

引用

页数：6

共 19 条

[1] 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

[2] 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

[3] A note on BMO and its application [J].

Chen, JC ;

Zhu, XR .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 303 (02) :696-698

[4]

Chen QL, 2007, P AM MATH SOC, V135, P1829

[5]

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

[6] L3,∞-solutions of the Navier-Stokes equations and backward uniqueness [J].

Escauriaza, L ;

Seregin, G ;

Sverák, V .

RUSSIAN MATHEMATICAL SURVEYS, 2003, 58 (02) :211-250

[7] INITIAL VALUE-PROBLEM FOR NAVIER-STOKES EQUATIONS WITH DATA IN LP [J].

FABES, EB ;

JONES, BF ;

RIVIERE, NM .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1972, 45 (03) :222-&

[8] On regularity criteria for the n-dimensional Navier-Stokes equations in terms of the pressure [J].

Fan, Jishan ;

Jiang, Song ;

Ni, Guoxi .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (11) :2963-2979

[9] 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

[10] Bilinear estimates in BMO and the Navier-Stokes equations [J].

Kozono, H ;

Taniuchi, Y .

MATHEMATISCHE ZEITSCHRIFT, 2000, 235 (01) :173-194

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