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

• Κύριοι συγγραφείς: Chekroun, Mickaël D. (Συγγραφέας), Liu, Honghu (Συγγραφέας), Wang, Shouhong (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: 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)...

Πίνακας περιεχομένων:

• General Introduction
• Preliminaries
• Invariant Manifolds
• Pullback Characterization of Approximating, and Parameterizing Manifolds
• Non-Markovian Stochastic Reduced Equations
• On-Markovian Stochastic Reduced Equations on the Fly
• Proof of Lemma 5.1.-References
• Index.