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

Պահպանված է:
Մատենագիտական մանրամասներ
Հիմնական հեղինակներ: Chekroun, Mickaël D. (Հեղինակ), Liu, Honghu (Հեղինակ), Wang, Shouhong (Հեղինակ)
Համատեղ հեղինակ: SpringerLink (Online service)
Ձևաչափ: էլ․ գիրք
Լեզու:English
Հրապարակվել է: Cham : Springer International Publishing : Imprint: Springer, 2015.
Հրատարակություն:1st ed. 2015.
Շարք:SpringerBriefs in Mathematics,
Springer eBook Collection.
Խորագրեր:
Առցանց հասանելիություն:Click to view e-book
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Նկարագրություն
Ամփոփում: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.
Ֆիզիկական նկարագրություն:XV, 127 p. 1 illus. in color. online resource.
ISBN:9783319124964
ISSN:2191-8198
DOI:10.1007/978-3-319-12496-4