Global well-posedness of the Navier-Stokes-omega equations

被引：5

作者：

Fan, Jishan ^{[2
]}

Zhou, Yong ^{[1
]}

机构：

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

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

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 11期

关键词：

Navier-Stokes-omega; Turbulence model; Global well-posedness;

D O I：

10.1016/j.aml.2011.05.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

First, we prove that the local solution to the Navier-Stokes-omega equations is unique when the spatial dimension n satisfies 3 <= n <= 6. Then, a regularity criterion is established for any n >= 3. As a corollary, it is proved that the smooth solution exists globally when 3 <= n <= 6. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1915 / 1918

页数：4