Bibliograph

Dynamics of Quasi-Stable Dissipative Systems, by Igor Chueshov

Type

Label

Dynamics of Quasi-Stable Dissipative Systems, by Igor Chueshov

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

Dynamics of Quasi-Stable Dissipative Systems

Medium

electronic resource

Oclc number

932002633

Responsibility statement

by Igor Chueshov

Series statement

Universitext,, 0172-5939

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

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

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