On the regularity criterion of axisymmetric weak solutions to the 3D Navier-Stokes equations

被引：11

作者：

Gala, Sadek ^{[1
]}

机构：

[1] Univ Mostaganem, Dept Math, Mostaganem 27000, Algeria

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 03期

关键词：

Navier-Stokes equations; Regularity criterion; A priori estimates; AXIALLY-SYMMETRIC FLOWS; INTERIOR REGULARITY;

D O I：

10.1016/j.na.2010.09.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the regularity criterion of axisymmetric weak solutions to the Navier-Stokes equations in R-3. Let u be an axisymmetric weak solution in R-3 x (0, T), w = curl u, and w(theta) be the azimuthal component of w in the cylindrical coordinates. It is proved that u becomes a regular solution if w(theta) is an element of L2/2-s (0, T; (M) over dot(2,3/s)), where (M) over dot(2,3/s) is the critical Morrey-Campanato space. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：775 / 782

页数：8

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