Attractors for infinite-dimensional non-autonomous dynamical systems

• Κύριοι συγγραφείς: Carvalho, Alexandre N. (Συγγραφέας), Langa, José A. (Συγγραφέας), Robinson, James C. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Σειρά: Applied Mathematical Sciences, 182
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Partial differential equations.; Manifolds (Mathematics).; Complex manifolds.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.; Manifolds and Cell Complexes (incl. Diff.Topology).

This book treats the theory of pullback attractors for non-autonomous dynamical systems. While the emphasis is on infinite-dimensional systems, the results are also applied to a variety of finite-dimensional examples.   The purpose of the book is to provide a summary of the current theory, starting...

Πίνακας περιεχομένων:

• The pullback attractor
• Existence results for pullback attractors
• Continuity of attractors
• Finite-dimensional attractors
• Gradient semigroups and their dynamical properties
• Semilinear Differential Equations
• Exponential dichotomies
• Hyperbolic solutions and their stable and unstable manifolds
• A non-autonomous competitive Lotka-Volterra system
• Delay differential equations.-The Navier–Stokes equations with non-autonomous forcing.-  Applications to parabolic problems
• A non-autonomous Chafee–Infante equation
• Perturbation of diffusion and continuity of attractors with rate
• A non-autonomous damped wave equation
• References
• Index.-.