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

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
Published in:Springer eBooks
Main Authors: Chekroun, Mickaël D. (Author), Liu, Honghu (Author), Wang, Shouhong (Author)
Corporate Author: SpringerLink (Online service)
Format: 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.
Mathematics.
Dynamical Systems and Ergodic Theory.
Probability Theory and Stochastic Processes.
Ordinary Differential Equations.
Online Access:http://dx.doi.org/10.1007/978-3-319-12520-6
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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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