Dynamics of Quasi-Stable Dissipative Systems
Book information
Description
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.
Similar books
The Convergence Problem for Dissipative Autonomous Systems: Classical Methods and Recent Advances
2015 · PDF
Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear SPDEs I
2015 · PDF
Chaotic Dynamics in Nonlinear Theory
2014 · PDF
Mathematical Methods in Biology and Neurobiology
2014 · PDF
Infinite Dimensional Dynamical Systems
2013 · PDF
Von Karman Evolution Equations: Well-posedness and Long Time Dynamics (Springer Monographs in Mathematics)
2010 · PDF
Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems
2020 · PDF
Long-time Behavior of Second Order Evolution Equations With Nonlinear Damping
2008 · DJVU