Attractors for infinite-dimensional non-autonomous dynamical systems

• Main Authors: Carvalho, Alexandre N. (Author), Langa, Jos ̌A. (Author), Robinson, James C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Applied Mathematical Sciences, 182
• Subjects: Mathematics.; Differentiable dynamical systems.; Differential equations, partial.; Cell aggregation > Mathematics.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.; Manifolds and Cell Complexes (incl. Diff.Topology).
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-4581-4

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<U+0013>Stokes equations with non-autonomous forcing.- Applications to parabolic problems
• A non-autonomous Chafee<U+0013>Infante equation
• Perturbation of diffusion and continuity of attractors with rate
• A non-autonomous damped wave equation
• References
• Index.-.