随机偏微分方程光滑稳定不变流形的逼近

IF 0.3 4区数学 Q4 MATHEMATICS, APPLIED

Journal of Partial Differential Equations Pub Date : 2019-06-01 DOI:10.4208/JPDE.V32.N2.2

Zhongkai Guo sci

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引用次数: 3

摘要

不变流形是用于描述和理解非线性动力系统定性行为的复杂随机集合。本文的目的是试图近似一类在不动点附近具有乘性白噪声的随机偏微分方程的光滑稳定不变流形。给出了两个例子来说明我们的结果。AMS学科分类:35B40, 35B41, 35Q30, 76D03, 76D05中文图书馆分类:O175.27

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Approximation of Smooth Stable Invariant Manifolds for Stochastic Partial Differential Equations

Invariant manifolds are complicate random sets useful for describing and understanding the qualitative behavior of nonlinear dynamical systems. The purpose of the present paper is try to approximate smooth stable invariant manifolds for a type of stochastic partial differential equations with multiplicative white noise near the fixed point. Two examples are given to illustrate our results. AMS Subject Classifications: 35B40, 35B41, 35Q30, 76D03, 76D05 Chinese Library Classifications: O175.27

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来源期刊

Journal of Partial Differential Equations MATHEMATICS, APPLIED-

自引率

33.30%

发文量

551