Nonuniqueness of phase transitions near the Maxwell line

Benzoni-Gavage, S.

doi:10.1090/S0002-9939-99-04719-X

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
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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.

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