Decay and the asymptotic behavior of solutions to the 3D incompressible Navier–Stokes equations with damping

被引：0
|
作者：
Wen, Ruili [1 ]
Chai, Shugen [1 ]
机构：
[1] School of Mathematical Sciences, Shanxi University, Taiyuan,030006, China
来源：
Applied Mathematics Letters | 2020年 / 101卷
基金：
中国国家自然科学基金;
关键词：
Asymptotic stability - Nonlinear equations - Asymptotic analysis - Navier Stokes equations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper studies the decay and the asymptotic behavior of solutions to the 3D incompressible Navier–Stokes equations with nonlinear damping α|u|β−1u(α>0,β>1). We will prove the L2 decay of weak solutions for β>1 with any α>0. Moreover, we concern the asymptotic stability of the solutions to the system for β>1 with any α>0. © 2019 Elsevier Ltd
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