Approximation of Stochastic Invariant Manifolds / SpringerBriefs in Mathematics (PDF)
Stochastic Manifolds for Nonlinear SPDEs I
(Sprache: Englisch)
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....
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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.
Bibliographische Angaben
- Autoren: Mickaël D. Chekroun , Honghu Liu , Shouhong Wang
- 2014, 2015, 127 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 331912496X
- ISBN-13: 9783319124964
- Erscheinungsdatum: 20.12.2014
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Größe: 3.27 MB
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Sprache:
Englisch
Pressezitat
“The book under review is the first in a two-volumeseries and deals with approximation of stochastic manifolds that are invariantfor dynamics of a parabolic Stratonovich SPDE driven by a one-dimensionalWiener process. … The book is aimed at readers interested in stochastic partialdifferential equations and random dynamical systems.” (Martin Ondreját, zbMATH1319.60002, 2015)
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