TY - JOUR
T1 - Approximation of Smooth Stable Invariant Manifolds for Stochastic Partial Differential Equations
AU - Guo , Zhongkai
AU - Yan , Xingjie
AU - Yang , Xin-Guang
JO - Journal of Partial Differential Equations
VL - 2
SP - 112
EP - 128
PY - 2019
DA - 2019/07
SN - 32
DO - http://doi.org/10.4208/jpde.v32.n2.2
UR - https://global-sci.org/intro/article_detail/jpde/13237.html
KW - Stochastic partial differential equation
KW - smooth stable invariant manifold
KW - geometric shape
KW - analytical approximation.
AB - <p>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.</p>