On regularity for the axisymmetric Navier-Stokes equations

被引：0

作者：

He, Fangyi ^{[1
]}

Wei, Zhiqiang ^{[2
]}

Zhu, Weiyi ^{[3
]}

机构：

[1] Southwestern Univ Finance & Econ, Sch Finance, Chengdu 611130, Sichuan, Peoples R China

[2] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China

[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 436卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes equations; Axi-symmetric flow; Blow-up criterion; CRITERION;

D O I：

10.1016/j.jmaa.2015.12.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a regularity criterion for the Navier-Stokes system with axisymmetric initial data. It is proved that if the local axisymmetric smooth solution u satisfies parallel to u(theta)1(r <=zeta)parallel to L-alpha((0,T*);L-beta) < infinity for any given zeta > 0, with 2/alpha + 3/beta = 1, 4 <= beta <= 6, then the strong solution keeps smoothness up to time T*. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：1256 / 1265

页数：10

共 50 条

[1] REGULARITY FOR THE AXISYMMETRIC NAVIER-STOKES EQUATIONS
Wang, Peng
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[2] On the regularity of the axisymmetric solutions of the Navier-Stokes equations
Chae, D
Lee, J
[J]. MATHEMATISCHE ZEITSCHRIFT, 2002, 239 (04) : 645 - 671
[3] Regularity criteria of the axisymmetric Navier-Stokes equations
Chae, D
Lee, JH
[J]. NAVIER-STOKES EQUATIONS: THEORY AND NUMERICAL METHODS, 2002, 223 : 159 - 165
[4] On the regularity of the axisymmetric solutions of the Navier-Stokes equations
Dongho Chae
Jihoon Lee
[J]. Mathematische Zeitschrift, 2002, 239 : 645 - 671
[5] On Some Regularity Criteria for Axisymmetric Navier-Stokes Equations
Renclawowicz, Joanna
Zajaczkowski, Wojciech M.
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2019, 21 (04)
[6] Local regularity of axisymmetric solutions to the Navier-Stokes equations
Seregin, G.
[J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2020, 10 (04)
[7] On weighted regularity criteria for the axisymmetric Navier-Stokes equations
Zhang, Zujin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2017, 296 : 18 - 22
[8] A Note on Local Regularity of Axisymmetric Solutions to the Navier-Stokes Equations
Seregin, G.
[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2022, 24 (01)
[9] REGULARITY OF 3D AXISYMMETRIC NAVIER-STOKES EQUATIONS
Chen, Hui
Fang, Daoyuan
Zhang, Ting
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (04): : 1923 - 1939
[10] Remarks on regularity criteria for the Navier-Stokes equations with axisymmetric data
Zhang, Zujin
[J]. ANNALES POLONICI MATHEMATICI, 2016, 117 (02) : 181 - 196

← 1 2 3 4 5 →