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Spatial patterns
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Librairie Eyrolles - Paris 5e

Spatial patterns

Spatial patterns

Higher order models in physics and mechanics

L.A. Peletier, W.C Troy

342 pages, parution le 04/12/2001


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.


  • 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

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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