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portada Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear Spdes I
Type
Physical Book
Author
Publisher
Language
English
Pages
127
Format
Paperback
Dimensions
23.4x15.6x0.8 cm
Weight
0.21 kg.
ISBN13
9783319124957
Categories

Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear Spdes I

Shouhong Wang (Author) · Mickaël D. Chekroun (Author) · Honghu Liu (Author) · Springer · Paperback

Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear Spdes I - Chekroun, Mickaël D. ; Liu, Honghu ; Wang, Shouhong

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Synopsis "Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear Spdes I"

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.

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