一类带线性噪声随机偏微分方程的不变流形（英文）  

Invariant Manifolds for SPDEs with Linear Noise

作　　者：郭仲凯[1] 王文娅 

机构地区：[1]中南民族大学数学与统计学院,湖北武汉430074 [2]华中科技大学数学与统计学院,湖北武汉430074

出　　处：《应用数学》2016年第4期939-948,共10页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11526196);the Fundamental Research Funds for the Central Universities,SCUEC:CZW15124

摘　　要：本文研究一类带线性噪声随机偏微分方程不变流形存在性的问题.利用LyapunovPerron解析的方法,获得这类方程不变流形存在性结果.Invariant manifolds are geometric structures which are useful for describing and understanding qualitative behaviors of nonlinear dynamical systems. They decompose the state space into regions of different dynamical regimes, and thus help depict dynamics. In this paper we investigate the existence of invariant manifolds for a class of stochastic semilinear partial differential equations with linear noise.

关 键 词：随机偏微分方程 不变流形 线性噪声 

分 类 号：O19[理学—数学]