Random dynamics of the 3D stochastic Navier-Stokes-Voight equations

被引：22
作者：
Gao, Hongjun [1 ]
Sun, Chengfeng [1 ,2 ]
机构：
[1] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210046, Jiangsu, Peoples R China
[2] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210046, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 03期
关键词：
3D Navier-Stokes-Voight equations; Random influence; Random attractor; ATTRACTORS;
D O I：
10.1016/j.nonrwa.2011.09.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The 3D Navier-Stokes-Voight model of viscoelastic incompressible fluid with random influence is investigated. We prove the existence and uniqueness of a weak solution using the Faedo-Galerkin method and then show that the long time dynamics is captured by a random attractor. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1197 / 1205
页数：9
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