Spatial patterns

Higher order models in physics and mechanics

L.A. Peletier, W.C Troy

342 pages, parution le 04/12/2001

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Résumé

This text offers a study of nonlinear fourth order model equations that are central to the description and analysis of spatio-temporal pattern formation in the natural sciences. In a unique combination of results obtained by rigorous mathematical analysis, and by computational studies, it exhibits the principal families of solutions, such as kinks, pulses and periodic solutions, and their dependence on critical eigenvalue parameters. The text points to a rich structure, much of which still awaits to be explored. This book is meant for mathematicians who wish to become acquainted with this new area of partial and ordinary differential equations, for mathematical physicists who wish to learn about the theory developed for a class of well known higher order pattern-forming model equations, and for graduate students who are looking for an exciting and promising field of research.

Contents

Introduction
The Symetric Bistable Equation
Real Eigenvalues
Estimates
Periodic Solutions
Kinks and Pulses
Chaotic Solutions
Variational Problems
Related Equations
The asymmetric Double-Well Potential
The Swift-Hohenberg Equation
Waves in Nonlinearly Supported Beams
References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	L.A. Peletier, W.C Troy
Parution	04/12/2001
Nb. de pages	342
Format	16 x 24
Couverture	Relié
Poids	678g
Intérieur	Noir et Blanc
EAN13	9780817641108
ISBN13	978-0-8176-4110-8

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Spatial patterns

Résumé

Caractéristiques techniques

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