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Titlebook: Dynamics of Quasi-Stable Dissipative Systems; Igor Chueshov Textbook 2015 Springer International Publishing Switzerland 2015 Finite dimens

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书目名称Dynamics of Quasi-Stable Dissipative Systems
编辑Igor Chueshov
视频video
概述Can be used as a textbook for courses in dissipative dynamics at the graduate level.Contains a large number of exercises.Presents, develops and uses the quasi-stability method.Useful not only to mathe
丛书名称Universitext
图书封面Titlebook: Dynamics of Quasi-Stable Dissipative Systems;  Igor Chueshov Textbook 2015 Springer International Publishing Switzerland 2015 Finite dimens
描述.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..
出版日期Textbook 2015
关键词Finite dimension; Global attractors; Rates of Stabilization; dynamical systems,; long-time behavior; qual
版次1
doihttps://doi.org/10.1007/978-3-319-22903-4
isbn_softcover978-3-319-22902-7
isbn_ebook978-3-319-22903-4Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer International Publishing Switzerland 2015
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Introduction: From Clash to EncounterIn this chapter we show how the general ideas developed in Chapters . and . can be applied to second order in time evolution equations with damping and source terms of various structure, whose abstract form is the following Cauchy problem in a separable Hilbert space .:
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Abstract Parabolic Problems,The main goal of this chapter is to show how the general methods developed in the previous chapters can be applied in the study of properties of qualitative dynamics for a class of abstract evolution equations of the form
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Second Order Evolution Equations,In this chapter we show how the general ideas developed in Chapters . and . can be applied to second order in time evolution equations with damping and source terms of various structure, whose abstract form is the following Cauchy problem in a separable Hilbert space .:
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https://doi.org/10.1007/978-3-319-22903-4Finite dimension; Global attractors; Rates of Stabilization; dynamical systems,; long-time behavior; qual
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978-3-319-22902-7Springer International Publishing Switzerland 2015
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Globalization and Gender in Canadaescribe all possible dynamical scenarios in 1D and 2D continuous systems and, by means of examples, discuss the principal bifurcation pictures. Our intention in the latter materials is to give the reader some feeling on what kind of dynamics can arise for low-dimensional (1 or 2) continuous time evo
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