Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I /: stochastic manifolds for nonlinear SPDEs I. ([2014])

• Record Type: Book
• Further Information: Note: Mickaël D. Chekroun, Honghu Liu, Shouhong Wang.
• Authors: Chekroun, Mickaël D; Liu, Honghu; Wang, Shouhong
• Contents: Preface; Acknowledgments; Contents; Acronyms; 1 General Introduction; 2 Stochastic Invariant Manifolds: Background and Main Contributions; 3 Preliminaries; 3.1 Stochastic Evolution Equations; 3.2 Random Dynamical Systems; 3.3 Cohomologous Cocycles and Random Evolution Equations; 3.4 Linearized Stochastic Flow and Related Estimates; 4 Existence and Attraction Properties of Global Stochastic Invariant Manifolds; 4.1 Existence and Smoothness of Global Stochastic Invariant Manifolds; 4.2 Asymptotic Completeness of Stochastic Invariant Manifolds. 5 Local Stochastic Invariant Manifolds: Preparation to Critical Manifolds6 Local Stochastic Critical Manifolds: Existence and Approximation Formulas; 6.1 Standing Hypotheses; 6.2 Existence of Local Stochastic Critical Manifolds; 6.3 Approximation of Local Stochastic Critical Manifolds; 6.4 Proofs of Theorem 6.1 and Corollary 6.1; 7 Approximation of Stochastic Hyperbolic Invariant Manifolds; Appendix AClassical and Mild Solutionsof the Transformed RPDE; Appendix BProof of Theorem 4.1; References; Index.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2014
• Copyright Date: 2015
• Extent: 1 online resource (xv, 127 pages), color illustration
• Subjects: 515/.353; Mathematics; Stochastic partial differential equations; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Stochastic partial differential equations; Mathematics; Probability; Stochastic Processes; Mathematics -- Differential Equations; Mathematics -- Probability & Statistics -- General; Differential calculus & equations; Probability & statistics; Differentiable dynamical systems; Differential equations, partial; Distribution (Probability theory); Differential Equations; Nonlinear science; Electronic books
• Languages: English
• ISBNs: 9783319124964
• Related ISBNs: 331912496X; 9783319124957; 3319124951
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed January 7, 2015).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.