Dynamics of Quasi-Stable Dissipative Systems

• Κύριος συγγραφέας: Chueshov, Igor (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Partial differential equations.; Physics.; Dynamical Systems and Ergodic Theory.; Partial Differential Equations.; Mathematical Methods in Physics.

 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. 

 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.