Approximation of Stochastic Invariant Manifolds is popular PDF and ePub book, written by Mickaël D. Chekroun in 2014-12-20, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Approximation of Stochastic Invariant Manifolds can be Read Online from any device for your convenience.
Approximation of Stochastic Invariant Manifolds Book PDF 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.
Detail Book of Approximation of Stochastic Invariant Manifolds PDF
- Author : Mickaël D. Chekroun
- Release : 20 December 2014
- Publisher : Springer
- ISBN : 9783319124964
- Genre : Mathematics
- Total Page : 136 pages
- Language : English
- PDF File Size : 12,6 Mb
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