Approximation of Smooth Stable Invariant Manifolds for Stochastic Partial Differential Equations | Journal of Partial Differential Equations

Approximation of Smooth Stable Invariant Manifolds for Stochastic Partial Differential Equations

Authors

Zhongkai Guo School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China
Xingjie Yan Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, China
Xin-Guang Yang Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China

DOI:

https://doi.org/10.4208/jpde.v32.n2.2

Keywords:

Stochastic partial differential equation;smooth stable invariant manifold;geometric shape;analytical approximation.

Abstract

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.

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Published

2019-07-15

Issue

Vol. 32 No. 2 (2019)

Section

Articles

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