Geodesic
Non-classical phase transitions at a sonic point
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a61/}
}
TY  - JOUR
AU  - Sablé-Tougeron, Monique
TI  - Non-classical phase transitions at a sonic point
JO  - Electronic Journal of Differential Equations
PY  - 2003
VL  - 2003
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a61/
LA  - en
ID  - EJDE_2003__2003__a61
ER  - 
%0 Journal Article
%A Sablé-Tougeron, Monique
%T Non-classical phase transitions at a sonic point
%J Electronic Journal of Differential Equations
%D 2003
%V 2003
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a61/
%G en
%F EJDE_2003__2003__a61
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/