PDEs and continuum models of phase transitions : proceedings of an NSF-CNRS joint seminar held in Nice, France, January 18-22, 1988 /

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Bibliographic Details
Imprint:Berlin ; New York : Springer-Verlag, ©1989.
Description:1 online resource (v, 229 pages) : illustrations.
Language:English
Series:Lecture notes in physics, 1616-6361 ; 344
Lecture notes in physics ; 344.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11067736
Hidden Bibliographic Details
Other authors / contributors:Rascle, M., 1947-
Serre, D. (Denis)
Slemrod, M., 1944-
National Science Foundation (U.S.)
Centre national de la recherche scientifique (France)
ISBN:9783540467175
3540467173
0387516174
9780387516172
Notes:Includes bibliographical references.
Restrictions unspecified
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Print version record.
Summary: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.
Other form:Print version: PDEs and continuum models of phase transitions. Berlin ; New York : Springer-Verslag, ©1989