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Dynamics of quasi-stable dissipative...
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Dynamics of quasi-stable dissipative systems
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Dynamics of quasi-stable dissipative systems/ by Igor Chueshov.
Author:
Chueshov, Igor.
Published:
Cham :Imprint: Springer, : 2015.,
Description:
xvii, 390 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Mathematical Methods in Physics. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-22903-4
ISBN:
9783319229034
Dynamics of quasi-stable dissipative systems
Chueshov, Igor.
Dynamics of quasi-stable dissipative systems
[electronic resource] /by Igor Chueshov. - Cham :Imprint: Springer,2015. - xvii, 390 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..
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.
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.
ISBN: 9783319229034
Standard No.: 10.1007/978-3-319-22903-4doiSubjects--Topical Terms:
670749
Mathematical Methods in Physics.
LC Class. No.: QA313
Dewey Class. No.: 515.39
Dynamics of quasi-stable dissipative systems
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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.
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