Approximation of Stochastic Invariant Manifolds

Stochastic Manifolds for Nonlinear SPDEs I

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Approximation of Stochastic Invariant Manifolds by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Honghu Liu, Mickaël D. Chekroun, Shouhong Wang ISBN: 9783319124964
Publisher: Springer International Publishing Publication: December 20, 2014
Imprint: Springer Language: English
Author: Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
ISBN: 9783319124964
Publisher: Springer International Publishing
Publication: December 20, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Simulation and Synthesis in Medical Imaging by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book Applications of Evolutionary Computation by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book Applications of Metaheuristic Optimization Algorithms in Civil Engineering by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book Mechanical Circulatory Support in End-Stage Heart Failure by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book Archaeology and Heritage of the Human Movement into Space by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book Skyrmions in Magnetic Materials by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book The Scaling of Relaxation Processes by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book Tactics and Procurement in the Habsburg Military, 1866-1918 by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book Measure and Integration by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book Identity, Ideology and Positioning in Discourses of Lifestyle Migration by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book Wood Pellet as a Renewable Source of Energy by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book Ramanujan's Lost Notebook by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book A Political Theory of Post-Truth by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book Optimization and Management in Manufacturing Engineering by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
Cover of the book Special Topics in Structural Dynamics, Volume 6 by Honghu Liu, Mickaël D. Chekroun, Shouhong Wang
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy