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Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear SPDEs I (SpringerBriefs in Mathematics) - Softcover

Buch 52 von 155: SpringerBriefs in Mathematics

Chekroun, Mickaël D. D.; Liu, Honghu; Wang, Shouhong

 
9783319124957: Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear SPDEs I (SpringerBriefs in Mathematics)
Softcover
ISBN 10: 3319124951 ISBN 13: 9783319124957
Verlag: Springer, 2015

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
3319124951
ISBN 13 
9783319124957
Einband
Taschenbuch
Anzahl der Seiten
144
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