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Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear SPDEs I (SpringerBriefs in Mathematics) by Mickaël D. Chekroun; Honghu Liu; Shouhong Wang is a nonfiction available to read on EtoBox.

What is Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear SPDEs I (SpringerBriefs in Mathematics) about?

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. Erscheinungsdatum: 13.01.2015

Who reads Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear SPDEs I (SpringerBriefs in Mathematics)?

Author

Mickaël D. Chekroun; Honghu Liu; Shouhong Wang

Publisher

Springer International Publishing : Imprint : Springer

Published

2014

Language

EN

ISBN

9783319124964

Category

nonfiction

Subjects

Mathematics, Science, Stem