Stabilization of 3D Navier–Stokes–Voigt equations-Reference-Cited by-同舟云学术

Stabilization of 3D Navier–Stokes–Voigt equations

Published:2020-12-01 Issue:4 Volume:27 Page:493-502
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:
Short-container-title:

Author:

Anh Cung The¹,Tuan Nguyen Viet²

Affiliation:

1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

2. Department of Mathematics, Sao Do University, 24 Thai Hoc 2, Sao Do, Chi Linh, Hai Duong province, Vietnam

Abstract

AbstractWe 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 Itô noise of sufficient intensity.

Funder

National Foundation for Science and Technology Development

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/27/4/article-p493.xml

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