Limiting behavior of unstable manifolds for spdes in varying phase spaces
Lin Shi, Dingshi Li, Kening Lu · Discrete and Continuous Dynamical Systems - B · 2021
In this paper, we study a class of singularly perturbed stochastic partial differential equations in terms of the phase spaces. We establish the smooth convergence of unstable manifolds of these equations. As an example, we study the stochastic reaction-diffusion equations on thin domains.