Weak and strong solutions for the incompressible Navier-Stokes equations with damping

被引：159

作者：

Cai, Xiaojing ^{[1
]}

Jiu, Quansen ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100037, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 343卷 / 02期

关键词：

Navier-Stokes equations; damping; weak solutions; strong solution;

D O I：

10.1016/j.jmaa.2008.01.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that the Cauchy problem of the Navier-Stokes equations with damping alpha vertical bar u vertical bar(beta-1)u(alpha > 0) has global weak solutions for any beta >= 1, global strong solution for any beta >= 7/2 and that the strong solution is unique for any 7/2 <= beta <= 5. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：799 / 809

页数：11

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