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
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
收藏
页码:1915 / 1918
页数:4
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