Approximation of Stochastic Invariant Manifolds Stochastic Manifolds for Nonlinear SPDEs I / by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang.

Guardat en:
Dades bibliogràfiques
Autors principals: Chekroun, Mickaël D. (Autor), Liu, Honghu (Autor), Wang, Shouhong (Autor)
Autor corporatiu: SpringerLink (Online service)
Format: eBook
Idioma:English
Publicat: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edició:1st ed. 2015.
Col·lecció:SpringerBriefs in Mathematics,
Springer eBook Collection.
Matèries:
Accés en línia:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Descripció
Sumari: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.
Descripció física:XV, 127 p. 1 illus. in color. online resource.
ISBN:9783319124964
ISSN:2191-8198
DOI:10.1007/978-3-319-12496-4