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) shastic invariant manifolds associated with a broad class of nonlinear shastic 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 shastic invariant manifolds, from the point of view of the theory of random dynamical systems.
1120559260
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) shastic invariant manifolds associated with a broad class of nonlinear shastic 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 shastic invariant manifolds, from the point of view of the theory of random dynamical systems.
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In Stock
5
1
Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear SPDEs I
127
Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear SPDEs I
127Paperback(2015)
$54.99
54.99
In Stock
Product Details
| ISBN-13: | 9783319124957 |
|---|---|
| Publisher: | Springer International Publishing |
| Publication date: | 12/20/2014 |
| Series: | SpringerBriefs in Mathematics |
| Edition description: | 2015 |
| Pages: | 127 |
| Product dimensions: | 6.10(w) x 9.25(h) x 0.01(d) |
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