An almost Serrin-type regularity criterion for the Navier-Stokes equations involving the gradient of one velocity component

被引：14

作者：

Zhang, Zujin ^{[1
]}

机构：

[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Jiangxi, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 04期

关键词：

Regularity criteria; Navier-Stokes equations; Weak solutions; WEAK SOLUTIONS;

D O I：

10.1007/s00033-015-0500-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns about the Cauchy problem for the three-dimensional Navier-Stokes equations and provides a regularity criterion in terms of the gradient of one velocity component. This improves previous results.

引用

页码：1707 / 1715

页数：9

共 29 条

[1]

[Anonymous], ARXIV13106442MATHAP

[2] Regularity Criteria for the Three-dimensional Navier-Stokes Equations [J].

Cao, Chongsheng ;

Titi, Edriss S. .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008, 57 (06) :2643-2661

[3]

Constantin P., 1988, CHICAGO LECT MATH SE

[4]

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

[5] 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

[6]

Hopf Eberhard, 1951, Math. Nachr., V4, P213, DOI DOI 10.1002/MANA.3210040121

[7] Remarks on regularity criteria for the Navier-Stokes equations via one velocity component [J].

Jia, Xuanji ;

Zhou, Yong .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 15 :239-245

[8] One component regularity for the Navier-Stokes equations [J].

Kukavica, I ;

Ziane, M .

NONLINEARITY, 2006, 19 (02) :453-469

[9] Navier-Stokes equations with regularity in one direction [J].

Kukavica, Igor ;

Ziane, Mohammed .

JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (06)

[10]

Ladyzhenskaya O. A., 1970, MATH THEORY VISCOUS

← 1 2 3 →