Approximation of Stochastic Invariant Manifolds - Stochastic Manifolds for Nonlinear SPDEs I (Paperback, 2015 ed.)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	SpringerBriefs in Mathematics
Release date:	December 2014
First published:	2015
Authors:	Mickael D. Chekroun • Honghu Liu • Shouhong Wang
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	127
Edition:	2015 ed.
ISBN-13:	978-3-319-12495-7
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Promotions
LSN:	3-319-12495-1
Barcode:	9783319124957

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