拉回吸引子
拉回
吸引子
动力系统理论
数学
数学分析
动力系统(定义)
物理
量子力学
作者
Yejuan Wang,Chen Zhong,Shengfan Zhou
出处
期刊:Discrete and Continuous Dynamical Systems
[American Institute of Mathematical Sciences]
日期:2006-01-01
卷期号:16 (3): 587-614
被引量:42
标识
DOI:10.3934/dcds.2006.16.587
摘要
We present the necessary and sufficient conditions and a new method to study the existence of pullback attractors of nonautonomous infinite dimensional dynamical systems. For illustrating our method, we apply it to nonautonomous 2D Navier-Stokes systems. We also show that the parametrically inflated pullback attractors and uniform attractors are robust with respect to the perturbations of both cocycle mappings and driving systems. As an example, we consider the nonautonomous 2D Navier-Stokes system with rapidly oscillating external force.
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