Invariant manifolds for physical and chemical kinetics / A.N. Gorban, I.V. Karlin.

By: Gorbanʹ, A. N. (Aleksandr Nikolaevich)
Contributor(s): Karlin, I. V. (Ilya V.)
Material type: TextTextSeries: Lecture notes in physics: 660.Publisher: Berlin ; New York : Springer, ©2005Description: 1 online resource (xviii, 495 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540315315; 3540315314Subject(s): Invariant manifolds | Differential equations, Partial -- Numerical solutions | Nonequilibrium statistical mechanics | Chemical kinetics | Mathematical physics | Variétés invariantes | Équations aux dérivées partielles -- Solutions numériques | Mécanique statistique hors d'équilibre | Cinétique chimique | Physique mathématique | Differential equations, Partial -- Numerical solutions | Nonequilibrium statistical mechanics | Chemical kinetics | Mathematical physics | Variétés invariantes | Équations aux dérivées partielles -- Solutions numériques | Mécanique statistique hors d'équilibre | Cinétique Chimique | Physique mathématique | Física | Invariant manifolds | Physique | Chemical kinetics | Differential equations, Partial -- Numerical solutions | Invariant manifolds | Mathematical physics | Nonequilibrium statistical mechanics | FísicaGenre/Form: Electronic books. Additional physical formats: Print version:: Invariant manifolds for physical and chemical kinetics.DDC classification: 515/.39 LOC classification: QA613 | .G67 2005ebOther classification: O189. 3 Online resources: Click here to access online
Contents:
The source of examples -- Invariance equation in differential form -- Film extension of the dynamics : slowness as stability -- Entropy, quasiequilibrium, and projectors field -- Newton method with incomplete linearization -- Quasi-chemical representation -- Hydrodynamics from Grad's equations : what can we learn from 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 -- Dimension of attractors estimation -- Accuracy estimation and post-processing in invariant manifolds construction.
Review: "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."--Jacket.
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Includes bibliographical references (pages 469-489) and index.

"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."--Jacket.

The source of examples -- Invariance equation in differential form -- Film extension of the dynamics : slowness as stability -- Entropy, quasiequilibrium, and projectors field -- Newton method with incomplete linearization -- Quasi-chemical representation -- Hydrodynamics from Grad's equations : what can we learn from 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 -- Dimension of attractors estimation -- Accuracy estimation and post-processing in invariant manifolds construction.

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