Asymptotic behavior of dissipative systems / Jack K. Hale

Auteur principal : Hale, Jack Kenneth, 1944-2009, AuteurType de document : MonographieCollection : Mathematical surveys, 25Langue : anglais.Pays: Etats Unis.Éditeur : Providence : American Mathematical Society, 1989Description : 1 vol. (IX-198 p.) ; 26 cmISBN: 9780821874806.ISSN: 0076-5376.Bibliographie : Bibliogr. p. 187-196. Index.Sujet MSC : 37Lxx, Dynamical systems and ergodic theory - Infinite-dimensional dissipative dynamical systems
35-02, Research exposition (monographs, survey articles) pertaining to partial differential equations
35Lxx, Partial differential equations - Hyperbolic equations and hyperbolic systems
35B40, Qualitative properties of solutions to partial differential equations, Asymptotic behavior of solutions to PDEs
En-ligne : Zentralblatt | MathSciNet | AMS
Tags from this library: No tags from this library for this title. Log in to add tags.
Item type Current library Call number Status Date due Barcode
 Monographie Monographie CMI
Salle 1
35 HAL (Browse shelf(Opens below)) Available 02196-01

Bibliogr. p. 187-196. Index

This book is directed at researchers in nonlinear ordinary and partial differential equations and at those who apply these topics to other fields of science. About one third of the book focuses on the existence and properties of the flow on the global attractor for a discrete or continuous dynamical system. The author presents a detailed discussion of abstract properties and examples of asymptotically smooth maps and semigroups. He also covers some of the continuity properties of the global attractor under perturbation, its capacity and Hausdorff dimension, and the stability of the flow on the global attractor under perturbation. The remainder of the book deals with particular equations occurring in applications and especially emphasizes delay equations, reaction-diffusion equations, and the damped wave equations. In each of the examples presented, the author shows how to verify the existence of a global attractor, and, for several examples, he discusses some properties of the flow on the global attractor. (source : AMS)

There are no comments on this title.

to post a comment.