Approximation of Stochastic Invariant Manifolds

Name: Approximation of Stochastic Invariant Manifolds
SKU: 22845134
Price: 151.00 NZD
Availability: InStock

Stochastic Manifolds for Nonlinear SPDEs I

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Format:

Paperback / softback

Series:

Springerbriefs in Mathematics

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Description

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.

Release date NZ

January 13th, 2015

Author

Audience

Postgraduate, Research & Scholarly

Illustrations

1 Illustrations, color; XV, 127 p. 1 illus. in color.

Pages

127

Series

Springerbriefs in Mathematics

Dimensions

155x235x8

ISBN-13

9783319124957

Product ID

22845134

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