Sable-Tougeron, Monique2020-09-152020-09-152003-03-07Sable-Tougeron, M. (2003). Non-classical phase transitions at a sonic point. <i>Electronic Journal of Differential Equations, 2003</i>(22), pp. 1-28.1072-6691https://hdl.handle.net/10877/12613The 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.Text28 pages1 file (.pdf)enAttribution 4.0 InternationalHyperbolicPhase transitionChapman-Jouguet regimeKinetic relationArticle