Two regularity criteria for 3D Navier-Stokes equations in a bounded domain

被引：1

作者：

Fan, Jishan ^{[1
]}

Li, Fucai ^{[2
]}

Nakamura, Gen ^{[3
]}

机构：

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

[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[3] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2017年 / 12卷 / 02期

基金：

中国国家自然科学基金;

关键词：

3D incompressible Navier-Stokes equations; Boussinesq system; regularity criterion; WEAK SOLUTIONS; GLOBAL REGULARITY; DIRECTION;

D O I：

10.1007/s11464-016-0611-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove two new regularity criteria for the 3D incompressible Navier-Stokes equations in a bounded domain. Our results also hold for the 3D Boussinesq system with zero heat conductivity.

引用

页码：359 / 366

页数：8

共 50 条

[21] Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain
Zhou, Y
MATHEMATISCHE ANNALEN, 2004, 328 (1-2) : 173 - 192
[22] REGULARITY FOR 3D NAVIER-STOKES EQUATIONS IN TERMS OF TWO COMPONENTS OF THE VORTICITY
Gala, Sadek
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[23] Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain
Yong Zhou
Mathematische Annalen, 2004, 328 : 173 - 192
[24] Regularity criteria for the 3D generalized Navier-Stokes equations with nonlinear damping term
Wu, Jianlong
AIMS MATHEMATICS, 2024, 9 (06): : 16250 - 16259
[25] On regularity criteria for the 3D Navier-Stokes equations involving the ratio of the vorticity and the velocity
Zhang, Zujin
Zhou, Yong
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (09) : 2311 - 2314
[26] On regularity criteria of weak solutions to the 3D viscoelastic Navier-Stokes equations with damping
Kim, Jae-Myoung
APPLIED MATHEMATICS LETTERS, 2017, 69 : 153 - 160
[27] Remarks on regularity criteria for the 3d Navier–Stokes equations
Qiao Liu
Meiling Pan
Indian Journal of Pure and Applied Mathematics, 2023, 54 : 868 - 875
[28] Gevrey regularity of solutions to the 3D Navier-Stokes equations
Biswas, Animikh
Swanson, David
Fluids and Waves: Recent Trends in Applied Analysis, 2007, 440 : 83 - 90
[29] On the pressure regularity criterion of the 3D Navier-Stokes equations
Zhang, Xingwei
Jia, Yan
Dong, Bo-Qing
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 393 (02) : 413 - 420
[30] On endpoint regularity criterion of the 3D Navier-Stokes equations
Li, Zhouyu
Zhou, Daoguo
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2021, 18 (01) : 71 - 80

← 1 2 3 4 5 →