On weighted regularity criteria for the axisymmetric Navier-Stokes equations

被引：11

作者：

Zhang, Zujin ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 296卷

基金：

中国国家自然科学基金;

关键词：

Axisymmetric Navier-Stokes equations; Regularity criterion; Weighted space; WEAK SOLUTIONS;

D O I：

10.1016/j.amc.2016.10.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the axisymmetric Navier-Stokes equations with swirl. By invoking the magic identity of Miao and Zheng, the symmetry properties of Riesz transforms and the Hardy-Sobolev inequality, we establish regularity criterion involving r(d)omega(theta) with -1 <= d < 0. This improves and extends the results of [3,21]. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：18 / 22

页数：5

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