Invariant manifolds for physical and chemical kinetics /
Gorbanʹ, A. N.
Invariant manifolds for physical and chemical kinetics / A.N. Gorban, I.V. Karlin. - Berlin ; New York : Springer, ©2005. - 1 online resource (xviii, 495 pages) : illustrations - Lecture notes in physics, 660 0075-8450 ; . - Lecture notes in physics ; 660. .
Includes bibliographical references (pages 469-489) and index.
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.
"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
English.
9783540315315 3540315314
9783540226840 10.1007/b98103. doi
978-3-540-22684-0 Springer http://www.springerlink.com
972257160 DE-101
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
Física.
QA613 / .G67 2005eb
515/.39
Invariant manifolds for physical and chemical kinetics / A.N. Gorban, I.V. Karlin. - Berlin ; New York : Springer, ©2005. - 1 online resource (xviii, 495 pages) : illustrations - Lecture notes in physics, 660 0075-8450 ; . - Lecture notes in physics ; 660. .
Includes bibliographical references (pages 469-489) and index.
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.
"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
English.
9783540315315 3540315314
9783540226840 10.1007/b98103. doi
978-3-540-22684-0 Springer http://www.springerlink.com
972257160 DE-101
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
Física.
QA613 / .G67 2005eb
515/.39