Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774660 | Journal of Mathematical Analysis and Applications | 2018 | 25 Pages |
Abstract
Random invariant manifolds and foliations play an important role in the study of the qualitative dynamical behaviors for nonlinear stochastic partial differential equations. In a general way, these random objects are difficult to be visualized geometrically or computed numerically. The current work provides a perturbation approach to approximate these random invariant manifolds and foliations. After briefly discussing the existence of random invariant manifolds and foliations for a class of stochastic systems driven by additive noises, the corresponding Wong-Zakai type of convergence result in path-wise sense is established.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zhongkai Guo, Xingjie Yan, Weifeng Wang, Xianming Liu,