03504nam 22006975 450 991030025780332120200630040630.03-319-22903-610.1007/978-3-319-22903-4(CKB)3710000000521703(SSID)ssj0001585058(PQKBManifestationID)16262989(PQKBTitleCode)TC0001585058(PQKBWorkID)14864965(PQKB)10902404(DE-He213)978-3-319-22903-4(MiAaPQ)EBC5587628(Au-PeEL)EBL5587628(OCoLC)932002633(PPN)190532114(EXLCZ)99371000000052170320150929d2015 u| 0engurnn|008mamaatxtccrDynamics of Quasi-Stable Dissipative Systems /by Igor Chueshov1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XVII, 390 p. 9 illus.) Universitext,0172-5939Bibliographic Level Mode of Issuance: Monograph3-319-22902-8 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.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.Universitext,0172-5939DynamicsErgodic theoryDifferential equations, PartialPhysicsDynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Dynamics.Ergodic theory.Differential equations, Partial.Physics.Dynamical Systems and Ergodic Theory.Partial Differential Equations.Mathematical Methods in Physics.515.39515.48Chueshov Igorauthttp://id.loc.gov/vocabulary/relators/aut66734MiAaPQMiAaPQMiAaPQBOOK9910300257803321Dynamics of quasi-stable dissipative systems1522774UNINA