Regularity and uniqueness for the 3D incompressible Navier-Stokes equations with damping

被引：74
|
作者：
Zhou, Yong [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 11期
关键词：
Navier-Stokes equations; Damping; Regularity; Uniqueness; CRITERIA;
D O I：
10.1016/j.aml.2012.02.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the Cauchy problem of the 3D incompressible Navier-Stokes equations with damping term vertical bar u vertical bar(beta-1) u (beta >= 1). We prove that the strong solution exists globally for beta >= 3, and establish two regularity criteria as 1 <= beta < 3. For any beta >= 1, we also prove that the strong solution is unique even among weak solutions. (C) 2012 Elsevier Ltd. All rights reserved.
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页码：1822 / 1825
页数：4
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