Attractors for infinite-dimensional non-autonomous dynamical systems - edition reliée, livre de poche

EAN (ISBN-13): 9781461445807
ISBN (ISBN-10): 1461445809
Version reliée
Date de parution: 2012
Editeur: Springer-Verlag New York Inc.
409 Pages
Poids: 0,794 kg
Langue: Englisch

Livre dans la base de données depuis 2009-03-21T18:13:54+01:00 (Zurich)
Page de détail modifiée en dernier sur 2024-01-22T20:10:13+01:00 (Zurich)
ISBN/EAN: 9781461445807

ISBN - Autres types d'écriture:
1-4614-4580-9, 978-1-4614-4580-7
Autres types d'écriture et termes associés:
Auteur du livre: james robinson, alexandre, joe robinson, robin, jos, alex james, josé carvalho, lyapunov, treats
Titre du livre: noe, auto, dimension, attractors for infinite dimensional non autonomous dynamical systems

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Données de l'éditeur

Auteur: Alexandre Carvalho; José A. Langa; James Robinson
Titre: Applied Mathematical Sciences; Attractors for infinite-dimensional non-autonomous dynamical systems
Editeur: Springer; Springer US
412 Pages
Date de parution: 2012-09-26
New York; NY; US
Imprimé / Fabriqué en
Langue: Anglais
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
XXXVI, 412 p.

BB; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Autonomous systems; Dynamical Systems; Navier-Stokes equations; non-autonomous theory; partial differential equations; Differential Equations; Dynamical Systems; Manifolds and Cell Complexes; Kybernetik und Systemtheorie; Topologie; EA; BC

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 with basic definitions and proceeding all the way to state-of-the-art results. As such it is intended as a primer for graduate students, and a reference for more established researchers in the field. The basic topics are existence results for pullback attractors, their continuity under perturbation, techniques for showing that their fibres are finite-dimensional, and structural results for pullback attractors for small non-autonomous perturbations of gradient systems (those with a Lyapunov function).  The structural results stem from a dynamical characterisation of autonomous gradient systems, which shows in particular that such systems are stable under perturbation.Application of the structural results relies on the continuity of unstable manifolds under perturbation, which in turn is based on the robustness of exponential dichotomies: a self-contained development of  these topics is given in full.After providing all the necessary theory the book treats a number of model problems in detail, demonstrating the wide applicability of the definitions and techniques introduced: these include a simple Lotka-Volterra ordinary differential equation, delay differential equations, the two-dimensional Navier-Stokes equations, general reaction-diffusion problems, a non-autonomous version of the Chafee-Infante problem, a comparison of attractors in problems with perturbations to the diffusion term, and a non-autonomous damped wave equation.Alexandre N. Carvalho is a Professor at the University of Sao Paulo, Brazil. José A. Langa is a Profesor Titular at the University of Seville, Spain. James C.Robinson is a Professor at the University of Warwick, UK.
Obtains new results on the characterization of global attractors for processes and their perturbations An up-to-date summary of the field Includes supplementary material: sn.pub/extras