TY  - GEN
AU  - Chueshov,Igor
TI  - Dynamics of quasi-stable dissipative systems
T2  - Universitext
SN  - 9783319229027
U1  - 515.352 23
PY  - 2015///
CY  - Switzerland
PB  - Springer
KW  - Dynamics
KW  - Mathematical models.
KW  - Chaotic behavior in systems
KW  - Mathematical models
N1  - Includes bibliographical references and index; Preface.- 
Introduction.- 
1. Basic Concepts.- 
2. General Facts on Dissipative Systems.- 
3. Finite-Dimensional Behavior and Quasi-Stability.- 
4. Abstract Parabolic Problems.- 
5. Second Order Evolution Equations.- 
6. Delay equations in infinite-dimensional spaces.- 
A. Auxiliary Facts.- 
References.- 
Index
N2  - 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
ER  -