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

被引：158
|
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.
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页码：799 / 809
页数：11
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