Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I /

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Bibliographic Details
Author / Creator:Chekroun, Mickaël D., author.
Imprint:Cham, Switzerland : Springer, [2014]
©2015
Description:1 online resource (xv, 127 pages) : color illustration.
Language:English
Series:SpringerBriefs in Mathematics, 2191-8198
SpringerBriefs in mathematics.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11091075
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Other authors / contributors:Liu, Honghu, author.
Wang, Shouhong, author.
ISBN:9783319124964
331912496X
9783319124957
Notes:Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed January 7, 2015).
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 unifie.
Other form:Print version: Chekroun, Micka©"l D. Approximation of Stochastic Invariant Manifolds : Stochastic Manifolds for Nonlinear SPDEs I. Cham : Springer International Publishing, ©2014 9783319124957