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Approximation of Stochastic Invariant Manifolds

Stochastic Manifolds for Nonlinear SPDEs I

Produktform: E-Buch Text Elektronisches Buch in proprietärem

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.weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-3-319-12496-4 / 978-3319124964 / 9783319124964

Verlag: Springer International Publishing

Erscheinungsdatum: 20.12.2014

Seiten: 127

Autor(en): Mickaël D. Chekroun, Honghu Liu, Shouhong Wang

Stichwörter: , , , , ,

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