Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations Stochastic Manifolds for Nonlinear SPDEs II /

• Main Authors: Chekroun, Mickaël D. (Author), Liu, Honghu (Author), Wang, Shouhong (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; Partial differential equations.; Probabilities.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.; Probability Theory and Stochastic Processes.; Ordinary Differential Equations.

In this second volume, a general approach is developed to provide approximate parameterizations of the "small" scales by the "large" ones for a broad class of stochastic partial differential equations (SPDEs). This is accomplished via the concept of parameterizing manifolds (PMs)...