Centre de Mathématiques Appliquées & Centre National de la Recherche Scientifique UMR 7641 Ecole Polytechnique 91128 Palaiseau Cedex France;
INSSET Université de Picardie 48 rue Raspail 02109 Saint-Quentin France;
Elastodynamics; Phase transitions; Hyperbolic conservation law; Diffusion; Dispersion; Shock wave; Undercompressive; Entropy inequality; Kineticrelation;