Non-classical phase transitions at a sonic point
Date
2003-03-07
Authors
Sable-Tougeron, Monique
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Hyperbolic, Phase transition, Chapman-Jouguet regime, Kinetic relation
Citation
Sable-Tougeron, M. (2003). Non-classical phase transitions at a sonic point. <i>Electronic Journal of Differential Equations, 2003</i>(22), pp. 1-28.
Rights
Attribution 4.0 International