Nonuniqueness of phase transitions
near the Maxwell line
Author:
S. Benzoni-Gavage
Journal:
Proc. Amer. Math. Soc. 127 (1999), 1183-1190
MSC (1991):
Primary 76T05, 35M10, 34C37; Secondary 35L67, 58F14
DOI:
https://doi.org/10.1090/S0002-9939-99-04719-X
MathSciNet review:
1485459
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We consider the description of propagating phase boundaries in a van der Waals fluid by means of viscocapillary profiles, which are viewed as heteroclinic orbits connecting nonhyperbolic fixed points of a five dimensional dynamical system. A bifurcation analysis enables us to show that, for small viscosities, some distinct propagating phase boundaries share the same metastable state on one side of the front.
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Additional Information
S. Benzoni-Gavage
Affiliation:
CNRS-ENS Lyon, UMR 128, 46, allée d’Italie, F-69364 Lyon Cedex 07, France
Email:
benzoni@umpa.ens-lyon.fr
DOI:
https://doi.org/10.1090/S0002-9939-99-04719-X
Keywords:
Phase transitions,
profiles,
heteroclinic orbits
Received by editor(s):
July 16, 1997
Communicated by:
Jeffrey Rauch
Article copyright:
© Copyright 1999
American Mathematical Society