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Dynamics of quasi-stable dissipative...

Chueshov, Igor.

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Dynamics of quasi-stable dissipative systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dynamics of quasi-stable dissipative systems/ by Igor Chueshov.
Author:	Chueshov, Igor.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xvii, 390 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Dynamics - Mathematical models. -
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 :Springer International Publishing :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:

566519
Dynamics
--Mathematical models.

LC Class. No.: QA313

Dewey Class. No.: 515.39

Dynamics of quasi-stable dissipative systems
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245 1 0 $a Dynamics of quasi-stable dissipative systems $h [electronic resource] / $c by Igor Chueshov.
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505 0 $a 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.
520 $a 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.
650 0 $a Dynamics $x Mathematical models. $3 566519
650 0 $a Chaotic behavior in systems $x Mathematical models. $3 858820
650 1 4 $a Mathematics. $3 515831
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650 2 4 $a Partial Differential Equations. $3 890899
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