Dynamics of quasi-stable dissipative...
Chueshov, Igor.

 

  • Dynamics of quasi-stable dissipative systems[electronic resource] /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 515.39
    書名/作者: Dynamics of quasi-stable dissipative systems/ by Igor Chueshov.
    作者: Chueshov, Igor.
    出版者: Cham : : Springer International Publishing :, 2015.
    面頁冊數: xvii, 390 p. : : ill., digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Dynamics - Mathematical models.
    標題: Chaotic behavior in systems - Mathematical models.
    標題: Mathematics.
    標題: Dynamical Systems and Ergodic Theory.
    標題: Partial Differential Equations.
    標題: Mathematical Methods in Physics.
    ISBN: 9783319229034
    ISBN: 9783319229027
    內容註: 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.
    摘要、提要註: 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.
    電子資源: http://dx.doi.org/10.1007/978-3-319-22903-4
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