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Universitext

Dynamics of Quasi-Stable Dissipative Systems

Authors: Chueshov, Igor

  • ​Can be used as a textbook for courses in dissipative dynamics at the graduate level
  • Contains a large number of exercises
  • Presents, develops and uses the quasi-stability method
  • Useful not only to mathematicians interested in the general theory of dynamical systems, but also to physicists and engineers interested in mathematical background and methods for the asymptotic analysis of infinite-dimensional dissipative systems that arise in Continuum Mechanics
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Buy this book

eBook 53,54 €
price for Spain (gross)
  • ISBN 978-3-319-22903-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 67,59 €
price for Spain (gross)
  • ISBN 978-3-319-22902-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

About the authors

Igor Chueshov is a Professor of Mathematics at Karazin Kharkov National University in Kharkov, Ukraine.

Reviews

“This monograph brings together several important and interesting models of infinite dimensional dimensional evolutionary equations, studied from the long-term dynamics and stability point of view, from abstract parabolic problems, such as 2D hydrodynamical systems and Hopf's models of turbulence, to second order evolution equations and delay equations. All the models are presented with clear and rigorous mathematical theory, which is beautifully developed along two chapters. … This work is indeed a ‘must have’ for mathematicians studying PDE models.” (Matheus Cheque Bortolan, zbMATH 1362.37001, 2017)

“In this monograph, the author presents the general theory and applications of the dynamics of infinite-dimensional quasi-stable dissipative systems. … The book is very well written, and the presentation is clear and rigorous. This monograph will be useful to researchers and graduate students interested in infinite-dimensional dissipative dynamical systems.” (Rodica Luca, Mathematical Reviews, April, 2016)


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Table of contents (6 chapters)

  • Basic Concepts

    Chueshov, Igor

    Pages 1-45

    Preview Buy Chapter 30,19 €
  • General Facts on Dissipative Systems

    Chueshov, Igor

    Pages 47-90

    Preview Buy Chapter 30,19 €
  • Finite-Dimensional Behavior and Quasi-Stability

    Chueshov, Igor

    Pages 91-143

    Preview Buy Chapter 30,19 €
  • Abstract Parabolic Problems

    Chueshov, Igor

    Pages 145-218

    Preview Buy Chapter 30,19 €
  • Second Order Evolution Equations

    Chueshov, Igor

    Pages 219-283

    Preview Buy Chapter 30,19 €

Buy this book

eBook 53,54 €
price for Spain (gross)
  • ISBN 978-3-319-22903-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 67,59 €
price for Spain (gross)
  • ISBN 978-3-319-22902-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Dynamics of Quasi-Stable Dissipative Systems
Authors
Series Title
Universitext
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-22903-4
DOI
10.1007/978-3-319-22903-4
Softcover ISBN
978-3-319-22902-7
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XVII, 390
Number of Illustrations and Tables
9 b/w illustrations
Topics