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Carvalho, Alexandre; Langa, José A.; Robinson, James:

Attractors for infinite-dimensional non-autonomous dynamical systems 2735 - neues Buch

2014, ISBN: 148999176X

The book treats the theory of attractors for non-autonomous dynamical systems. The monograph is suitable for graduate students with a background on functional analysis and evolution equat… Mehr…

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Applied Mathematical Sciences: Attractors for infinite-dimensional non-autonomous dynamical systems - Carvalho, Alexandre / Langa, José A. / Robinson, James C.
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Carvalho, Alexandre / Langa, José A. / Robinson, James C.:

Applied Mathematical Sciences: Attractors for infinite-dimensional non-autonomous dynamical systems - Taschenbuch

2014, ISBN: 9781489991768

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Attractors for infinite-dimensional non-autonomous dynamical systems: 182 (Applied Mathematical Sciences, 182) - Carvalho, Alexandre, Langa, José A. Robinson, James
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Carvalho, Alexandre, Langa, José A. Robinson, James:
Attractors for infinite-dimensional non-autonomous dynamical systems: 182 (Applied Mathematical Sciences, 182) - Taschenbuch

2014

ISBN: 9781489991768

Springer, Paperback, Auflage: 2013, 448 Seiten, Publiziert: 2014-10-15T00:00:01Z, Produktgruppe: Book, Hersteller-Nr.: biography, 0.68 kg, Reference, Subjects, Books, Differential Equatio… Mehr…

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Alexandre Carvalho/ José A. Langa/ James Robinson:
Attractors for infinite-dimensional non-autonomous dynamical systems - Taschenbuch

2013, ISBN: 9781489991768

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Alexandre Carvalho:
Attractors for infinite-dimensional non-autonomous dynamical systems - Taschenbuch

ISBN: 9781489991768

Paperback / softback. New. This treatment of pull-back attractors for non-autonomous Dynamical systems emphasizes the infinite-dimensional variety but also analyzes those that are finite… Mehr…

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Details zum Buch
Attractors for infinite-dimensional non-autonomous dynamical systems

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.

Detailangaben zum Buch - Attractors for infinite-dimensional non-autonomous dynamical systems


EAN (ISBN-13): 9781489991768
ISBN (ISBN-10): 148999176X
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2014
Herausgeber: Springer New York

Buch in der Datenbank seit 2015-03-17T22:19:18+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-01-22T20:10:25+01:00 (Berlin)
ISBN/EAN: 148999176X

ISBN - alternative Schreibweisen:
1-4899-9176-X, 978-1-4899-9176-8
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: alexandre, robinson, alex james, josé carvalho, james robin
Titel des Buches: attractors for infinite dimensional non autonomous dynamical systems


Daten vom Verlag:

Autor/in: Alexandre Carvalho; José A. Langa; James Robinson
Titel: Applied Mathematical Sciences; Attractors for infinite-dimensional non-autonomous dynamical systems
Verlag: Springer; Springer US
412 Seiten
Erscheinungsjahr: 2014-10-15
New York; NY; US
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
XXXVI, 412 p.

BC; 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; BB

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

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