Geodesic
On a supplementary conservation law for a hyperbolic model of heat conductor
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 2, pp. 171-176

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In the context of the wave propagation theory in nonlinear hyperbolic systems, we analyse, in the case of a rigid heat conductor, the model proposed by G. Grioli. After introducing the constitutive relations according to the point of view of the extended thermodynamics, we look for the compatibility of the governing equations with a supplementary conservation law. We obtain the functional form of the constitutive quantities and we are able to show that the governing equations may be written in symmetric and conservative form so that the Cauchy problem results well posed. 
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     title = {On a supplementary conservation law for a hyperbolic model of heat conductor},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
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Torrisi, Mariano; Valenti, Antonino. On a supplementary conservation law for a hyperbolic model of heat conductor. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 2, pp. 171-176. http://geodesic.mathdoc.fr/item/RLIN_1990_9_1_2_a13/