Mickaël D. Chekroun, Honghu Liu & Shouhong Wang, Approximation of Stpochastic Invairant Manifolds: Stochastic Manifolds for Nonlinear SPDEs I. SpringerBriefs in Mathematics. Springer, New York, xv+127 pp., 2015. [Springer link] [see also the Preprint]
Mickaël D. Chekroun, Honghu Liu & Shouhong Wang, Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations: Stochastic Manifolds for Nonlinear SPDEs II, SpringerBriefs in Mathematics. Springer, New York, xvii+129 pp., 2015. [Springer link] [see also the Preprint]