Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I /: stochastic manifolds for nonlinear SPDEs I. ([2014])
- Record Type:
- Book
- Title:
- Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I /: stochastic manifolds for nonlinear SPDEs I. ([2014])
- Main Title:
- Approximation of stochastic invariant manifolds : stochastic manifolds for nonlinear SPDEs I
- 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.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.347850
- Ingest File:
- 01_302.xml