Description: Approximation of Stochastic Invariant Manifolds Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Stochastic Manifolds for Nonlinear SPDEs I Author(s): Mickael D. Chekroun, Honghu Liu, Shouhong Wang Format: Paperback Publisher: Springer International Publishing AG, Switzerland Imprint: Springer International Publishing AG ISBN-13: 9783319124957, 978-3319124957 Synopsis 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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Book Title: Approximation of Stochastic Invariant Manifolds
Number of Pages: 127 Pages
Language: English
Publication Name: Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear Spdes I
Publisher: Springer International Publishing A&G
Publication Year: 2015
Subject: Mathematics
Item Height: 235 mm
Item Weight: 2292 g
Type: Textbook
Author: Mickael D. Chekroun, Shouhong Wang, Honghu Liu
Series: Springerbriefs in Mathematics
Item Width: 155 mm
Format: Paperback
