Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear spdes I / Mickaël D. Chekroun, Honghu Liu, Shouhong Wang.
Tipo de material: TextoSeries SpringerBriefs in MathematicsEditor: Cham : Springer International Publishing : Springer, 2015Descripción: xv, 127 páginas : 1 ilustraciones en colorTipo de contenido:- texto
- computadora
- recurso en línea
- 9783319124964
- QA313
Springer eBooks
General Introduction -- Stochastic Invariant Manifolds: Background and Main Contributions -- Preliminaries -- Stochastic Evolution Equations -- Random Dynamical Systems -- Cohomologous Cocycles and Random Evolution Equations -- Linearized Stochastic Flow and Related Estimates -- Existence and Attraction Properties of Global Stochastic Invariant Manifolds -- Existence and Smoothness of Global Stochastic Invariant Manifolds -- Asymptotic Completeness of Stochastic Invariant Manifolds -- Local Stochastic Invariant Manifolds: Preparation to Critical Manifolds -- Local Stochastic Critical Manifolds: Existence and Approximation Formulas -- Standing Hypotheses -- Existence of Local Stochastic Critical Manifolds -- Approximation of Local Stochastic Critical Manifolds -- Proofs of Theorem 6.1 and Corollary 6.1 -- Approximation of Stochastic Hyperbolic Invariant Manifolds -- A Classical and Mild Solutions of the Transformed RPDE -- B Proof of Theorem 4.1 -- References.
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