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

By: Contributor(s): Material type: TextTextSeries: Lecture notes in physics ; 660.Publication details: Berlin ; New York : Springer, ©2005.Description: 1 online resource (xviii, 495 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540315315
  • 3540315314
Subject(s): Additional physical formats: Print version:: Invariant manifolds for physical and chemical kinetics.DDC classification:
  • 515/.39 22
LOC classification:
  • QA613 .G67 2005eb
Other classification:
  • O189. 3
Online resources:
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
Holdings
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eBook eBook e-Library eBook LN Physics Available
Total holds: 0

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.

Print version record.

English.

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