Geodesic
Non-classical phase transitions at a sonic point
Electronic journal of differential equations, Tome 2003 (2003)
The relevant mathematical features of phase transition for a general hyperbolic nonlinear system near a sonic discontinuity are clarified. A well-posed Riemann's problem is obtained, including non-classical 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 Shearer-Yang and the combustion model of Majda.
Classification : 35L65, 35L67, 74B20, 76L05, 80A32
Keywords: hyperbolic, phase transition, Chapman-jouguet regime, kinetic relation 
@article{EJDE_2003__2003__a61,
     author = {Sabl\'e-Tougeron,  Monique},
     title = {Non-classical phase transitions at a sonic point},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1023.35075},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a61/}
}
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Sablé-Tougeron,  Monique. Non-classical phase transitions at a sonic point. Electronic journal of differential equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a61/