Random attractor for the stochastic Cahn-Hilliard-Navier-Stokes system with small additive noise

被引：13

作者：

Li, Fang ^{[1
]}

You, Bo ^{[2
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian, Shaanxi, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2018年 / 36卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Random attractor; Cahn-Hilliard-Navier-Stokes system; upper semi-continuity; additive noise; 35B41; 37L55; PULLBACK ATTRACTORS; COCYCLE ATTRACTORS; 2-PHASE FLOW; FLUID; MODEL; VISCOSITY;

D O I：

10.1080/07362994.2018.1431130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to study the asymptotic behavior of solutions, in terms of the upper semi-continuous property of random attractor, of the Cahn-Hilliard-Navier-Stokes system with small additive noise. We prove the existence of a random attractor for the Cahn-Hilliard-Navier-Stokes system with small additive noise. Furthermore, we consider the stability of global attractor and prove the random attractor of the Cahn-Hilliard-Navier-Stokes system with small additive noise will convergent to the global attractor of the unperturbed Cahn-Hilliard-Navier-Stokes system when the parameter of the perturbation epsilon tends to zero.

引用

页码：546 / 559

页数：14

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