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.

引用

页数：9

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