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)

Table of contents (16 chapters)

Buy this book

eBook 93,08 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • 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 116,63 €
price for Spain (gross)
  • ISBN 978-3-662-13766-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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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
64 b/w illustrations
Topics