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