Random invariant manifolds and foliations for slow-fast PDEs with strong multiplicative noise

Abstract

This article is devoted to the dynamical behaviors of a class of slow-fast PDEs perturbed by strong multiplicative noise. We will accomplish the existence of random invariant manifolds and foliations, and show exponential tracking property of them. Moreover, the asymptotic approximation for both objects will be presented.

Keywords

• slow-fast systems; random invariant manifolds; random invariant foliations.