Attractors for infinite-dimensional non-autonomous dynamical systems
Author(s)
Bibliographic Information
Attractors for infinite-dimensional non-autonomous dynamical systems
（Applied mathematical sciences, v. 182）
Springer, c2013
- softcover
Available at / 23 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
CAR||82||1200026123478
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Kobe University Library for Science and Technology
410-8-3//182030201201633,
softcover410-8-3//182030201900645 -
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Note
Includes bibliographical references (p. 393-403) and index
"Softcover reprint of the hardcover 1st edition 2013"--T.p verso
Description and Table of Contents
Description
The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence.
The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.
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.-
by "Nielsen BookData"