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

di Mickaël D. Chekroun (Autore)

Honghu Liu (Autore)

Shouhong Wang (Autore)

Springer International Publishing AG, 2015

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.

• Autore: Mickaël D. Chekroun, Honghu Liu, Shouhong Wang
• Editore: Springer International Publishing AG
• Collana: SpringerBriefs in Mathematics
• Anno: 2015
• Rilegatura: Paperback / softback
• Pagine: 127 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783319124957

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