A note on the uniqueness of strong solution to the incompressible Navier-Stokes equations with damping

被引：8
|
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 | 2019年 / 15期
基金：
中国博士后科学基金;
关键词：
incompressible Navier-Stokes equations; strong solution; uniqueness; damping;
D O I：
10.14232/ejqtde.2019.1.15
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). In [J. Math. Anal. Appl. 377(2011), 414-419], Zhang et al. obtained global strong solution for beta > 3 and the solution is unique provided that 3 < beta <= 5. In this note, we aim at deriving the uniqueness of global strong solution for any beta > 3.
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页码：1 / 4
页数：4
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