Invariant manifolds for physical and chemical kinetics

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...

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Päätekijät: Gorban, Alexander Nikolaevich, 1952-2025 (Päätoimittaja), Karlin, Ilya V. (Päätoimittaja)
Aineistotyyppi: Livre numérique
Kieli:Anglais
Julkaistu: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Painos:1st ed. 2005.
Sarja:Lecture Notes in Physics 660
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Huomautus: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Invariant manifolds for physical and chemical kinetics, A.N. Gorban, I.V. Karlin, Berlin, Springer, 2005, 1 volume (XVIII-495 p.), Lecture notes in physics, 3-540-22684-2
• Invariant Manifolds for Physical and Chemical Kinetics, Texte imprimé, 9783540803102
• Invariant Manifolds for Physical and Chemical Kinetics, Texte imprimé, 9783642061530
• Invariant manifolds for physical and chemical kinetics, A.N. Gorban, I.V. Karlin, Berlin, Springer, 2005, 1 volume (XVIII-495 p.), Lecture notes in physics, 3-540-22684-2
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100 1 |a Gorban, Alexander Nikolaevich,  |d 1952-2025. 
245 1 0 |a Invariant manifolds for physical and chemical kinetics   |c edited by Alexander N. Gorban, Iliya V. Karlin. 
250 |a 1st ed. 2005. 
260 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Lecture Notes in Physics  |v 660  |x 1616-6361 
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500 |a Archives Springer e-books (Licence nationale) 
505 1 |a Introduction The Source of Examples Invariance Equation in the Differential Form Film Extension of the Dynamics: Slowness as Stability Entropy, Quasi-Equilibrium and Projector Field Newton Method with Incomplete Linearization Quasi-chemical Representation Hydrodynamics from Grad's Equations: Exact Solutions Relaxation Methods Method of Invariant Grids Method of Natural Projector Geometry of Irreversibility: The Film of Nonequilibrium States Slow Invariant Manifolds for Open Systems Estimation of Dimension of Attractors Accuracy Estimation and Post-Processing Conclusion 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
650 |a Thermodynamique 
650 |a Systèmes dynamiques 
650 |a Énergie mécanique 
650 |a Chimie physique et théorique 
650 |a Invariants 
650 |a Physique mathématique 
700 1 |a Karlin, Ilya V.  |4 aut 
700 1 |a Gorban, Alexander Nikolaevich,  |d 1952-2025.  |4 pbd 
700 1 |a Karlin, Ilya V.  |4 pbd 
776 0 |0 087558491  |t Invariant manifolds for physical and chemical kinetics  |f A.N. Gorban, I.V. Karlin  |c Berlin  |n Springer  |d 2005  |p 1 volume (XVIII-495 p.)  |s Lecture notes in physics  |z 3-540-22684-2 
776 0 |t Invariant Manifolds for Physical and Chemical Kinetics  |b Texte imprimé  |z 9783540803102 
776 0 |t Invariant Manifolds for Physical and Chemical Kinetics  |b Texte imprimé  |z 9783642061530 
776 0 |0 087558491  |t Invariant manifolds for physical and chemical kinetics  |f A.N. Gorban, I.V. Karlin  |c Berlin  |n Springer  |d 2005  |p 1 volume (XVIII-495 p.)  |s Lecture notes in physics  |z 3-540-22684-2 
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