Lecture Notes in Physics

PDEs and Continuum Models of Phase Transitions

Proceedings of an NSF-CNRS Joint Seminar Held in Nice, France, January 18–22, 1988

Editors: Rascle, Michel, Serre, Denis, Slemrod, Marshall (Eds.)

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About this book

The study of phase transitions is one of the fundamental problems of physics. The goal of this seminar was to understand better the spectacular progress made recently in constructing continuum models. Concentrating on a few examples such as the microstructure of crystals, defects in liquid crystals and liquid-vapor interfaces, several key points are described, for example the structure and evolution of the interfaces, regularization via interfacial energy, and equilibrium theories. The mathematical treatment of these questions involves large-oscillation theories (Young's measures, compensated compactness), spectral theory, admissibility of shock waves, long-time behavior of dynamical systems, high-order perturbations, group actions, solitons, and others.

Table of contents (16 chapters)

  • Clusters of singularities in liquid crystals

    Bouligand, Yves

    Pages 1-9

  • Stability analysis of flows of liquid crystal polymers exhibiting a banding structure

    Calderer, Maria-Carme

    Pages 10-21

  • Coupled transverse-longitudinal solitons in elastic crystals

    Cadet, S.

    Pages 22-33

  • The computation of the austenitic-martensitic phase transition

    Collins, Charles (et al.)

    Pages 34-50

  • Theory of diffusionless phase transitions

    James, Richard (et al.)

    Pages 51-84

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-540-46717-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-3-662-13766-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
PDEs and Continuum Models of Phase Transitions
Book Subtitle
Proceedings of an NSF-CNRS Joint Seminar Held in Nice, France, January 18–22, 1988
Editors
  • Michel Rascle
  • Denis Serre
  • Marshall Slemrod
Series Title
Lecture Notes in Physics
Series Volume
344
Copyright
1989
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-46717-5
DOI
10.1007/BFb0024930
Softcover ISBN
978-3-662-13766-6
Series ISSN
0075-8450
Edition Number
1
Number of Pages
VII, 232
Number of Illustrations and Tables
64 b/w illustrations
Topics