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PDEs and Continuum Models of Phase Transitions

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

  • Conference proceedings
  • © 1989


Part of the book series: Lecture Notes in Physics (LNP, volume 344)

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Table of contents (16 papers)


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.

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: M. Rascle, D. Serre, M. Slemrod

  • Series Title: Lecture Notes in Physics

  • DOI:

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-662-13766-6Published: 23 August 2014

  • eBook ISBN: 978-3-540-46717-5Published: 19 November 2005

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: VII, 232

  • Number of Illustrations: 64 b/w illustrations

  • Topics: Theoretical, Mathematical and Computational Physics, Analysis

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