Dynamics of quasi-stable dissipative systems [electronic resource] / Igor Chueshov.
2015
QA313
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Title
Dynamics of quasi-stable dissipative systems [electronic resource] / Igor Chueshov.
ISBN
9783319229034 electronic book
3319229036 electronic book
9783319229027
3319229028
3319229036 electronic book
9783319229027
3319229028
Published
Cham : Springer, 2015.
Language
English
Description
1 online resource.
Other Standard Identifiers
10.1007/978-3-319-22903-4 doi
Call Number
QA313
Dewey Decimal Classification
515.39
Summary
This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems properties related to dissipative long-time behavior. The book systematically presents, develops and uses the quasi-stability method while substantially extending it by including for consideration new classes of models and PDE systems arising in Continuum Mechanics. The book can be used as a textbook in dissipative dynamics at the graduate level. Igor Chueshov is a Professor of Mathematics at Karazin Kharkov National University in Kharkov, Ukraine.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed March 17, 2016).
Series
Universitext
Available in Other Form
Print version: 9783319229027
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Table of Contents
Preface
Introduction
Basic Concepts
General Facts on Dissipative Systems
Finite-Dimensional Behavior and Quasi-Stability
Abstract Parabolic Problems
Second Order Evolution Equations.- Delay equations in infinite-dimensional spaces
Auxiliary Facts
References
Index.
Introduction
Basic Concepts
General Facts on Dissipative Systems
Finite-Dimensional Behavior and Quasi-Stability
Abstract Parabolic Problems
Second Order Evolution Equations.- Delay equations in infinite-dimensional spaces
Auxiliary Facts
References
Index.