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Alcune considerazioni su una classe di sistemi del primo ordine quasi-lineari conservativi ed iperbolici di due equazioni in due variabili indipendenti

Domenico Fusco — 1980

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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...

Discontinuous travelling wave solutions for a class of dissipative hyperbolic models

Carmela CurròDomenico Fusco — 2005

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Discontinuous shock structure solutions for a general system of balance laws is considered in order to investigate the problem of connecting two equilibrium states lying on different sides of a singular barrier representing a locus of irregular singular points for travelling waves. Within such a theoretical setting a governing system of monoatomic gas is considered.

Sulla propagazione di onde di discontinuità compatibili con un modello magneto-elastico completamente non lineare

Andrea DonatoDomenico Fusco — 1977

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In an earlier paper [1] we deduced the magneto-elastic system of equations in the three-dimensional case. The object of the present paper is to study the propagation of weak discontinuities associated with this system. We have occasion to compare results with other ones known in absence of magnetic field. In the last part of the paper we examine the case of small deformations obtaining the same results as in [8]

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