In this paper we determine a class of first order quasi-linear hyperbolic systems in conservative form involving two independent and two dependent variables which are not deducible, in general, from a variational principle but can be reduced to a Godunov’s symmetric form [5], [6] where the coefficient of the field spatial derivative is a constant matrix. That enables us to extend to these systems several results obtained by G. Boillat in [8], [9] and concerning with shocks in quasi-linear systems of first order coming out from a variational principle. In the paper also are pointed out several physical examples where the present theory can be applied.
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Con il contributo del Ministero per i Beni e le Attività Culturali