Approximation of Stochastic Invariant Manifolds Stochastic Manifolds for Nonlinear SPDEs I /
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...
| Published in: | Springer eBooks |
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| Main Authors: | , , |
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Series: | SpringerBriefs in Mathematics,
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-3-319-12496-4 Перейти в каталог НБ ТГУ |
| Summary: | 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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| Physical Description: | XV, 127 p. 1 illus. in color. online resource. |
| ISBN: | 9783319124964 |
| ISSN: | 2191-8198 |