Attractors for infinite-dimensional non-autonomous dynamical systems

• Main Authors: Carvalho, Alexandre N. (Author), Langa, José A. (Author), Robinson, James C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Applied Mathematical Sciences, 182
• Subjects: 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...

Table of Contents:

• 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.-.