(DOWNLOAD) "Approximation of Stochastic Invariant Manifolds" by Mickaël D. Chekroun, Honghu Liu & Shouhong Wang # eBook PDF Kindle ePub Free

January 16, 2021

eBook details

Title: Approximation of Stochastic Invariant Manifolds
Author : Mickaël D. Chekroun, Honghu Liu & Shouhong Wang
Release Date : January 20, 2014
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 3928 KB

Description

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.