Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali (Jul 2019)
Conservation laws for a viscoelastic medium
Abstract
In this paper we consider a first order quasilinear non homogenoeus hyperbolic system describing viscoelastic processes. A full classification of first order local conservation laws admitted by such a rate-type model has been given. Classes of material response functions involved in the viscoelastic system under interest allowing the existence of the corresponding conservation laws have been obtained.