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

被引：77

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.

引用

页码：1822 / 1825

页数：4

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