Spatial Patterns | Higher Order Models in Physics and Mechanics

L. A. Peletier (u. a.)

ISBN 10: 0817641106 ISBN 13: 9780817641108

Edit� par Birkhäuser, 2001

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Synopsis :

A study of nonlinear higher order model equations central to the description and analysis of spatio-temporal pattern formation in the natural sciences. Unique combination of results obtained by rigorous mathematical analysis and computational studies. Text exhibits the principal families of solutions--kinks, pulses and periodic solutions, and their dependence on critical eigenvalue parameters. Exposition first focuses on a single equation to achieve optimal transparency, then branches out to wider classes of equations. Includes many exercises, open problems, recent original results, and applications to mathematical physics and mechanics. Intended for mathematicians, mathematical physicists, and graduate students.

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Titre : Spatial Patterns | Higher Order Models in ...
�diteur : Birkh�user
Date d'�dition : 2001
Reliure : Buch
Etat : Neu

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Spatial Patterns

Troy W.C. Peletier L.A.

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Etat : New. pp. 364. N� de r�f. du vendeur 18317456

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Spatial Patterns

Troy W.C. Peletier L.A.

Edit� par Springer, 2001

ISBN 10 : 0817641106 ISBN 13 : 9780817641108

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Etat : New. pp. 364 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. N� de r�f. du vendeur 7563205

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Spatial Patterns

W.C. Troy L.A. Peletier

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Spatial Patterns

L.A. Peletier|W.C. Troy

Edit� par Birkh�user Boston, 2001

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The study of spatial patterns in extended systems, and their evolution with time, poses challenging questions for physicists and mathematicians alike. Waves on water, pulses in optical fibers, periodic structures in alloys, folds in rock formations, and clo. N� de r�f. du vendeur 5975656

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Spatial Patterns: Higher Order Models in Physics and Mechanics (Progress in Nonlinear Differential Equations and Their Applications, 45)

Peletier, L.A.; Troy, W.C.

Edit� par Birkh�user, 2001

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Etat : New. N� de r�f. du vendeur ABLIING23Feb2416190237516

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Spatial Patterns

W. C. Troy

Edit� par Birkh�user Boston, Birkh�user Boston Jun 2001, 2001

ISBN 10 : 0817641106 ISBN 13 : 9780817641108

Neuf Couverture rigide

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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -The study of spatial patterns in extended systems, and their evolution with time, poses challenging questions for physicists and mathematicians alike. Waves on water, pulses in optical fibers, periodic structures in alloys, folds in rock formations, and cloud patterns in the sky: patterns are omnipresent in the world around us. Their variety and complexity make them a rich area of study. In the study of these phenomena an important role is played by well-chosen model equations, which are often simpler than the full equations describing the physical or biological system, but still capture its essential features. Through a thorough analysis of these model equations one hopes to glean a better under standing of the underlying mechanisms that are responsible for the formation and evolution of complex patterns. Classical model equations have typically been second-order partial differential equations. As an example we mention the widely studied Fisher-Kolmogorov or Allen-Cahn equation, originally proposed in 1937 as a model for the interaction of dispersal and fitness in biological populations. As another example we mention the Burgers equation, proposed in 1939 to study the interaction of diffusion and nonlinear convection in an attempt to understand the phenomenon of turbulence. Both of these are nonlinear second-order diffusion equations.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 364 pp. Englisch. N� de r�f. du vendeur 9780817641108

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Spatial Patterns

W. C. Troy

Edit� par Birkh�user Boston Jun 2001, 2001

ISBN 10 : 0817641106 ISBN 13 : 9780817641108

Neuf Couverture rigide

impression � la demande

Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The study of spatial patterns in extended systems, and their evolution with time, poses challenging questions for physicists and mathematicians alike. Waves on water, pulses in optical fibers, periodic structures in alloys, folds in rock formations, and cloud patterns in the sky: patterns are omnipresent in the world around us. Their variety and complexity make them a rich area of study. In the study of these phenomena an important role is played by well-chosen model equations, which are often simpler than the full equations describing the physical or biological system, but still capture its essential features. Through a thorough analysis of these model equations one hopes to glean a better under standing of the underlying mechanisms that are responsible for the formation and evolution of complex patterns. Classical model equations have typically been second-order partial differential equations. As an example we mention the widely studied Fisher-Kolmogorov or Allen-Cahn equation, originally proposed in 1937 as a model for the interaction of dispersal and fitness in biological populations. As another example we mention the Burgers equation, proposed in 1939 to study the interaction of diffusion and nonlinear convection in an attempt to understand the phenomenon of turbulence. Both of these are nonlinear second-order diffusion equations. 364 pp. Englisch. N� de r�f. du vendeur 9780817641108

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