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Titlebook: Invariant Manifolds for Physical and Chemical Kinetics; Alexander Gorban,Ilya Karlin Book 2005 Springer-Verlag Berlin Heidelberg 2005 Inva

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發(fā)表于 2025-3-21 17:46:34 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Invariant Manifolds for Physical and Chemical Kinetics
編輯Alexander Gorban,Ilya Karlin
視頻videohttp://file.papertrans.cn/475/474571/474571.mp4
概述Major reference source for both theoretical and applied model reduction..Includes supplementary material:
叢書名稱Lecture Notes in Physics
圖書封面Titlebook: Invariant Manifolds for Physical and Chemical Kinetics;  Alexander Gorban,Ilya Karlin Book 2005 Springer-Verlag Berlin Heidelberg 2005 Inva
描述.By bringing together various ideas and methods for extracting the slow manifolds, the authors show that it is possible to establish a more macroscopic description in nonequilibrium systems. The book treats slowness as stability. A unifying geometrical viewpoint of the thermodynamics of slow and fast motion enables the development of reduction techniques, both analytical and numerical. Examples considered in the book range from the Boltzmann kinetic equation and hydrodynamics to the Fokker-Planck equations of polymer dynamics and models of chemical kinetics describing oxidation reactions. Special chapters are devoted to model reduction in classical statistical dynamics, natural selection, and exact solutions for slow hydrodynamic manifolds. The book will be a major reference source for both theoretical and applied model reduction. Intended primarily as a postgraduate-level text in nonequilibrium kinetics and model reduction, it will also be valuable to PhD students and researchers in applied mathematics, physics and various fields of engineering..
出版日期Book 2005
關鍵詞Invariant manifold; Kinetics; Model reduction; Oxidation; entropy; thermodynamics
版次1
doihttps://doi.org/10.1007/b98103
isbn_softcover978-3-642-06153-0
isbn_ebook978-3-540-31531-5Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 2005
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沙發(fā)
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板凳
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Film Extension of the Dynamics: Slowness as Stability,et a dynamical system be defined in some metric space (so that we can measure distances between points), and let .) be a motion of this system at time . with the initial condition .(0)=. at time .=0. The subset . of the phase space is called . if it is made of whole trajectories, that is, if .∈ . then .(.)∈ . for all . ∈ (-∞,∞).
地板
發(fā)表于 2025-3-22 05:02:20 | 只看該作者
Entropy, Quasiequilibrium, and Projectors Field,each iteration step towards the limit strongly depends on the choice of the projector. Moreover, if we want each approximate solution to be consistent with such physically crucial conditions as the second law of thermodynamics (the entropy of the isolated systems increases), then the choice of the projector becomes practically unique.
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發(fā)表于 2025-3-22 09:37:46 | 只看該作者
,Hydrodynamics From Grad’s Equations: What Can We Learn From Exact Solutions?,proximations in extending the hydrodynamic description beyond the Navier-Stokes approximation. Various techniques, such as the method of partial summation, Pade’ approximants, and invariance principle are compared both in linear and nonlinear situations.
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發(fā)表于 2025-3-22 14:30:40 | 只看該作者
Book 2005c description in nonequilibrium systems. The book treats slowness as stability. A unifying geometrical viewpoint of the thermodynamics of slow and fast motion enables the development of reduction techniques, both analytical and numerical. Examples considered in the book range from the Boltzmann kine
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發(fā)表于 2025-3-23 00:39:36 | 只看該作者
Introduction,ts of our study are dissipative dynamic systems (finite or infinite) which arise in various problems of kinetics. Some of the results and methods presented herein may have a more general applicability, and can be useful not only for dissipative systems but also, for example, for conservative systems.
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