Electron. J. Diff. Eqns., Vol. 2003(2003), No. 22, pp. 128.
Nonclassical phase transitions at a sonic point
Monique SableTougeron
Abstract:
The relevant mathematical features of phase transition for a general
hyperbolic nonlinear system near a sonic discontinuity are clarified.
A wellposed Riemann's problem is obtained, including nonclassical
undercompressive shocks, defined by a geometrical kinetic relation.
A counterpart is the geometrical rejection of some compressive shocks.
The result is consistent with the structure profiles of the elasticity
model of ShearerYang and the combustion model of Majda.
Submitted September 5, 2002. Published March 7, 2003.
Math Subject Classifications: 35L65, 35L67, 74B20, 76L05, 80A32.
Key Words: Hyperbolic, phase transition, ChapmanJouguet regime,
kinetic relation.
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Monique SableTougeron
I.R.M.A.R., Universite de Rennes 1
Campus de Beaulieu
F35042 Rennes Cedex, France
email: sable@maths.univrennes1.fr 
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