Attractors for infinitedimensional nonautonomous dynamical systems
 Author/Creator
 Carvalho, Alexandre Nolasco de.
 Language
 English.
 Imprint
 New York : Springer, c2013.
 Physical description
 xxxvi, 409 p. : ill. ; 25 cm.
 Series
 Applied mathematical sciences (SpringerVerlag New York Inc.) ; v.182.
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Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 393403) and index.
 Contents

 The pullback attractor. Existence results for pullback attractors. Continuity of attractors. Finitedimensional attractors. Gradient semigroups and their dynamical properties. Semilinear Differential Equations. Exponential dichotomies. Hyperbolic solutions and their stable and unstable manifolds. A nonautonomous competitive LotkaVolterra system. Delay differential equations.The NavierStokes equations with nonautonomous forcing. Applications to parabolic problems. A nonautonomous ChafeeInfante equation. Perturbation of diffusion and continuity of attractors with rate. A nonautonomous damped wave equation. References. Index..
 (source: Nielsen Book Data)
 Publisher's Summary
 The book treats the theory of attractors for nonautonomous 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 nonautonomous dependence. The book is intended as an uptodate 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 Alexandre N. Carvalho, José A. Langa, James C. Robinson.
 Series
 Applied mathematical sciences, 00665452 ; v.182
 ISBN
 9781461445807
 1461445809
 9781461445814
 1461445817