On regularity criteria for the 3D Navier-Stokes equations involving the ratio of the vorticity and the velocity

被引：3

作者：

Zhang, Zujin ^{[1
]}

Zhou, Yong ^{[2
,3
]}

机构：

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

[2] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China

[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 72卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Regularity criteria; Navier-Stokes equations; Vorticity; PRESSURE;

D O I：

10.1016/j.camwa.2016.08.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note concerns regularity criteria for the Navier-Stokes equations. It is proved that if the solution satisfies integral(T)(0) parallel to omega(tau)parallel to(2s/2s-3)(Ls)/parallel to u(tau)parallel to(f(s))(L3) d tau < infinity for 3/2 < s < infinity and suitable function f(s), then the solution is regular on (0, T). (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：2311 / 2314

页数：4

共 10 条

[1]

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

[2] 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

[3]

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

[4] STRONG LP-SOLUTIONS OF THE NAVIER-STOKES EQUATION IN RM, WITH APPLICATIONS TO WEAK SOLUTIONS [J].

KATO, T .

MATHEMATISCHE ZEITSCHRIFT, 1984, 187 (04) :471-480

[5] On the movement of a viscous fluid to fill the space [J].

Leray, J .

ACTA MATHEMATICA, 1934, 63 (01) :193-248

[6]

Prodi G., 1959, Annali di Matematica Pura ed Applicata, V48, P173, DOI 10.1007/BF02410664

[7]

SERRIN J, 1962, ARCH RATION MECH AN, V9, P187

[8]

Tran C.V., PRESSURE MODER UNPUB

[9] Depletion of nonlinearity in the pressure force driving Navier-Stokes flows [J].

Tran, Chuong V. ;

Yu, Xinwei .

NONLINEARITY, 2015, 28 (05) :1295-1306

[10] On regularity criteria in terms of pressure for the Navier-Stokes equations in R3 [J].

Zhou, Y .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (01) :149-156

← 1 →