%0 Journal Article %T Phonon gas and changes of shape of second sound wave %A T. Ruggeri %J Le Matematiche %D 1991 %I University of Catania %X A generalized non linear Maxwell-Cattaneo equation is used to study shock waves propagating in a rigid heat conductor at low temperature. Taking into account the experimental values for the second sound velocity, the existence of a critical temperature characteristic of the materials and separating two families of shocks, the ˇ°hotˇ± and the ˇ°coldˇ± ones, is proved both numerically and analytically. Finally a possible explanation of the distortion of the initial second sound thermal pulse during its propagation is proposed. %U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/631