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Invariant manifolds for physical and chemical kinetics

Author: A N Gorbanʹ; I V Karlin
Publisher: Berlin ; New York : Springer, ©2005.
Series: Lecture notes in physics, 660.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"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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Genre/Form: Electronic books
Additional Physical Format: Print version:
Gorbanʹ, A.N. (Aleksandr Nikolaevich).
Invariant manifolds for physical and chemical kinetics.
Berlin ; New York : Springer, ©2005
(DLC) 2004113306
(OCoLC)57729924
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: A N Gorbanʹ; I V Karlin
ISBN: 9783540315315 3540315314 9783540226840 3540226842
OCLC Number: 209860421
Description: 1 online resource (xviii, 495 pages) : illustrations.
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.
Series Title: Lecture notes in physics, 660.
Responsibility: A.N. Gorban, I.V. Karlin.

Abstract:

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. Special  Read more...

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From the reviews of the first edition:"The book presents an overwhelmingly rich display of deep ideas in the theory and applications of invariant manifolds for the dynamical systems appearing in Read more...

 
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