Global well-posedness to the incompressible Navier-Stokes equations with damping

被引：12
|
作者：
Zhong, Xin [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2017年 / 62期
基金：
中国博士后科学基金;
关键词：
Navier-Stokes equations; global well-posedness; damping; UNIQUENESS;
D O I：
10.14232/ejqtde.2017.1.62
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Cauchy problem of the 3D incompressible Navier-Stokes equations with nonlinear damping term alpha vertical bar u vertical bar(beta-1)u (alpha > 0 and beta >= 1). It is shown that the strong solution exists globally for any beta >= 1.
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页数：9
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