Stabilization of 3D Navier-Stokes-Voigt equations

被引：2
|
作者：
Cung The Anh [1 ]
Nguyen Viet Tuan [2 ]
机构：
[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam
[2] Sao Do Univ, Dept Math, 24 Thai Hoc 2, Chi Linh, Hai Duong Provi, Vietnam
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2020年 / 27卷 / 04期
关键词：
Navier Stokes Voigt equations; stationary solution; stability; stabilization; internal feedback control; multiplicative Ito noise; EXPONENTIAL BEHAVIOR; GLOBAL ATTRACTORS; STABILIZABILITY;
D O I：
10.1515/gmj-2018-0067
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider 3D Navier-Stokes-Voigt equations in smooth bounded domains with homogeneous Dirichlet boundary conditions. First, we study the existence and exponential stability of strong stationary solutions to the problem. Then we show that any unstable steady state can be exponentially stabilized by using either an internal feedback control with a support large enough or a multiplicative Ito noise of sufficient intensity.
引用
收藏
页码：493 / 502
页数：10
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