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

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)...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Chekroun, Mickaël D. (Author), Liu, Honghu (Author), Wang, Shouhong (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:SpringerBriefs in Mathematics,
Subjects:
Differential equations.
Dynamical systems.
Probabilities.
Differential Equations.
Dynamical Systems.
Probability Theory.
Online Access:Texto Completo
Table of Contents:
  • 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.

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