Dynamics of Quasi-Stable Dissipative Systems / by Igor Chueshov.

Format:

Book

Author/Creator:

Chueshov, Igor., Author.

Series:

Universitext, 0172-5939

Language:

English

Subjects (All):

Dynamics.

Ergodic theory.

Differential equations, Partial.

Physics.

Dynamical Systems and Ergodic Theory.

Partial Differential Equations.

Mathematical Methods in Physics.

Local Subjects:

Dynamical Systems and Ergodic Theory.

Partial Differential Equations.

Mathematical Methods in Physics.

Physical Description:

1 online resource (XVII, 390 p. 9 illus.)

Edition:

1st ed. 2015.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2015.

Language Note:

English

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.

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Description based on publisher supplied metadata and other sources.

ISBN:

3-319-22903-6

OCLC:

932002633