Spatial Patterns : Higher Order Models in Physics and Mechanics

Language: English

Published by Birkhäuser, Birkhäuser, 2001

0817641106 / 9780817641108

Series: Book 14 of 53 - Progress in Nonlinear Differential Equations and Their Applications

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9780817641108

Title
Spatial Patterns : Higher Order Models in Physics and Mechanics
Author
L. A. Peletier
Publisher
Birkhäuser, Birkhäuser
Publication year
2001
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0817641106
ISBN 13
9780817641108
Item weight
711 grams
Dimensions
241x160x25 mm
Series
Book 14 of 53: Progress in Nonlinear Differential Equations and Their Applications

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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