Asymptotic behavior of the stochastic Kelvin-Voigt-Brinkman-Forchheimer equations

被引：3

作者：

Cung The Anh ^{[1
]}

Nguyen Van Thanh ^{[2
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam

[2] Hanoi Natl Univ, Univ Languages & Int Studies, Foreign Languages Specialized Sch, Hanoi, Vietnam

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2016年 / 34卷 / 03期

关键词：

Stochastic Kelvin-Voigt-Brinkman-Forchheimer equations; white noise; stability; stabilizability; EVOLUTION EQUATIONS; UNBOUNDED-DOMAINS; NOISE; STABILIZATION; ATTRACTORS; STABILITY; DESTABILIZATION;

D O I：

10.1080/07362994.2016.1149775

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this article is to study the exponential behavior and stabilizability of the following stochastic three-dimensional Kelvin-Voigt-Brinkman-Forchheimer equations du + [-nu Delta u - alpha(2)Delta u(t) + (u . del)u + f(x, u) + del p]dt = g(x)dt + h(t, u)dW(t) in an arbitrary (bounded or unbounded) domain satisfying the Poincare inequality.

引用

页码：441 / 455

页数：15

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