Approximation of Stochastic Invariant Manifolds

Language: English

Published by Springer, Palgrave Macmillan Jan 2015, 2015

3319124951 / 9783319124957

Series: Book 52 of 155 - SpringerBriefs in Mathematics

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This item is printed on demand - Print on Demand Titel. Neuware -This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized in Volume II as pullback limits associated with some partially coupled backward-forward systems. This pullback characterization provides a useful interpretation of the corresponding approximating manifolds and leads to a simple framework that unifies some other approximation approaches in the literature. A self-contained survey is also included on the existence and attraction of one-parameter families of stochastic invariant manifolds, from the point of view of the theory of random dynamical systems.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 144 pp. Englisch.

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Title
Approximation of Stochastic Invariant Manifolds
Author
Mickaël D. Chekroun
Publisher
Springer, Palgrave Macmillan Jan 2015
Publication year
2015
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319124951
ISBN 13
9783319124957
Item weight
230 grams
Dimensions
235x155x9 mm
Series
Book 52 of 155: SpringerBriefs in Mathematics

buchversandmimpf2000

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