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Invariant Manifolds for Physical and Chemical Kinetics (Lecture Notes in Physics, 660) 🔍
Alexander N. Gorban, Ilya V. Karlin (auth.) Springer-Verlag Berlin Heidelberg, Lecture Notes in Physics, Lecture notes in physics 660, 1, 2005
English [en] · PDF · 11.6MB · 2005 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save
description
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.
Alternative filename
lgli/Gorban A.N., Karlin I.V. Invariant manifolds for physical and chemical kinetics (LNP 660, Springer-Verlag, 2005)(507s).pdf
Alternative filename
lgrsnf/Gorban A.N., Karlin I.V. Invariant manifolds for physical and chemical kinetics (LNP 660, Springer-Verlag, 2005)(507s).pdf
Alternative author
Alexander N Gorban; Iliya V Karlin, Maschinenbauingenieur
Alternative author
Gorban, Alexander N., Karlin, Iliya V.
Alternative author
Aleksandr Nikolaevič Gorbanʹ
Alternative author
A. N. Gorbanʹ, I. V. Karlin
Alternative author
Alexander N. N. Gorban
Alternative publisher
Spektrum Akademischer Verlag. in Springer-Verlag GmbH
Alternative publisher
Springer Spektrum. in Springer-Verlag GmbH
Alternative publisher
Steinkopff. in Springer-Verlag GmbH
Alternative edition
Lecture notes in physics,, 660, Berlin, New York, Germany, 2005
Alternative edition
Lectures notes in physics, 660, Berlin, 2005
Alternative edition
Germany, Germany
Alternative edition
1, 2010
metadata comments
kolxoz
metadata comments
lg949981
metadata comments
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metadata comments
Includes bibliographical references (p. [469]-489) and index.
Alternative description
Introduction....Pages 1-19
The Source of Examples....Pages 21-63
Invariance Equation in Differential Form....Pages 65-67
Film Extension of the Dynamics: Slowness as Stability....Pages 69-78
Entropy, Quasiequilibrium, and Projectors Field....Pages 79-138
Newton Method with Incomplete Linearization....Pages 139-178
Quasi-Chemical Representation....Pages 179-187
Hydrodynamics From Grad’s Equations: What Can We Learn From Exact Solutions?....Pages 189-246
Relaxation Methods....Pages 247-277
Method of Invariant Grids....Pages 279-298
Method of Natural Projector....Pages 299-323
Geometry of Irreversibility: The Film of Nonequilibrium States....Pages 325-366
Slow Invariant Manifolds for Open Systems....Pages 367-417
Dimension of Attractors Estimation....Pages 419-456
Accuracy Estimation and Post-Processing in Invariant Manifolds Construction....Pages 457-466
Conclusion....Pages 467-468
References....Pages 469-489
Mathematical Notation and Some Terminology....Pages 491-492
Alternative description
"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."--Résumé de l'éditeur
Alternative description
Lecture Notes in Physics
Erscheinungsdatum: 22.10.2010
Alternative description
Lecture Notes in Physics
Erscheinungsdatum: 01.02.2005
date open sourced
2010-02-18
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