Averaging, homogenization and slow manifolds for stochastic partial differential equations

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.Jinqiao Duan, Anthony Roberts, and Wei Wan