Random attractors of stochastic non-newtonian fluids

被引：6
|
作者：
Guo, Chun-xiao [1 ]
Guo, Bo-ling [2 ]
Han, Yong-qian [2 ]
机构：
[1] China Univ Min & Technol Beijing, Dept Math, Beijing 100083, Peoples R China
[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2012年 / 28卷 / 01期
关键词：
random attractors; non-Newtonian fluids; additive noise; Ornstein-Uhlenbeck process; NONLINEAR SCHRODINGER-EQUATION; SYSTEM;
D O I：
10.1007/s10255-012-0132-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper investigates the asymptotic behavior of solutions for stochastic non-Newtonian fluids in a two-dimensional domain. Firstly, we prove the existence of random attractors I > (H) (omega) in H; Secondly, we prove the existence of random attractors I > (V) (omega) in V. Then we verify regularity of the random attractors by showing that I > (H) (omega) = I > (V) (omega), which implies the smoothing effect of the fluids in the sense that solution becomes eventually more regular than the initial data.
引用
收藏
页码：165 / 180
页数：16
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