Attractors for infinite-dimensional non-autonomous dynamical systems

✍ Scribed by James C Robinson

Publisher: Springer
Year: 2013
Tongue: English
Leaves: 431
Series: Applied Mathematical Sciences, 182
Category: Library

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✦ Synopsis

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

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