Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise

被引：4
作者：
Jia, Xiaoyao [1 ]
Ding, Xiaoquan [1 ]
机构：
[1] Henan Univ Sci & Technol, Math & Stat Sch, 263 Kai Yuan Rd, Luoyang 471023, Henan, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2018年 / 2018卷
基金：
中国国家自然科学基金;
关键词：
NAVIER-STOKES EQUATIONS; UPPER SEMICONTINUITY;
D O I：
10.1155/2018/3105239
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained. We first transform the stochastic equation into a random equation and then obtain the existence of a random attractor for random equation. Then conjugation relation between two random dynamical systems implies the existence of a random attractor for the stochastic equation. At last, we get the upper semicontinuity of random attractor.
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页数：14
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