Averaging, Homogenization and Slow Manifolds for Stochastic Partial Differential Equations
Jinqiao Duan, Anthony John Roberts, Wei Wang · Interdisciplinary mathematical sciences · 2011
Macroscopic reduction methods, such as averaging, homogenization and slow manifold approximation, have been proposed for stochastic partial differential equations (SPDEs) with separated time and/or spatial scales in recent years. Here we overview some very recent results of applying these methods to derive effective reduced models for stochastic partial differential equations.