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Nonuniqueness of phase transitions near the Maxwell line
Author(s):
S.
Benzoni-Gavage
Journal:
Proc. Amer. Math. Soc.
127
(1999),
1183-1190.
MSC (1991):
Primary 76T05, 35M10, 34C37;
Secondary 35L67, 58F14
MathSciNet review:
1485459
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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.
References:
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- M. Slemrod, Admissibility criteria for propagating phase boundaries in a van der Waals fluid. Arch. Rational Mech. Anal. 81 (1983), pp. 301-315. MR 84a:76030
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MSC (1991):
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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:
10.1090/S0002-9939-99-04719-X
PII:
S 0002-9939(99)04719-X
Keywords:
Phase transitions,
profiles,
heteroclinic orbits
Received by editor(s):
July 16, 1997
Communicated by:
Jeffrey Rauch
Copyright of article:
Copyright
1999,
American Mathematical Society
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