Approximation of Stochastic Invariant Manifolds : Stochastic Manifolds for Nonlinear Spdes I
Overview
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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Details
- ISBN-13: 9783319124957
- ISBN-10: 3319124951
- Publisher: Springer
- Publish Date: January 2015
- Dimensions: 9.21 x 6.14 x 0.31 inches
- Shipping Weight: 0.47 pounds
- Page Count: 127
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