Dynamics of quasi-stable dissipative systems / Igor Chueshov

• Autore: Chueshov, Igor D.
• Pubblicazione: [Cham], : Springer, 2015
• Titolo uniforme: Dynamics of quasi-stable dissipative systems
• Descrizione fisica: XVII, 390 p. : ill. ; 24 cm
• Soggetto topico: 34K25 - Asymptotic theory of functional-differential equations [MSC 2020]; 35B41 - Attractors [MSC 2020]; 37L05 - General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations [MSC 2020]; 37L30 - Infinite-dimensional dissipative dynamical systems–attractors and their dimensions, Lyapunov exponents [MSC 2020]
• Soggetto non controllato: Dynamical systems; Finite dimension; Global attractors; Long-time behavior; Partial Differential Equations; Qualitative analysis; Quasi-stability; Rates of Stabilization; Recurrence and stability
• Nota di contenuto: 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.
• Titolo autorizzato: Dynamics of quasi-stable dissipative systems
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: VAN00113761
• Lo trovi qui: Univ. Vanvitelli
• Localizzazioni e accesso elettronico: http://dx.doi.org/10.1007/978-3-319-22903-4
• Serie: Universitext Berlin [etc] . -Springer , 1930-