In this note we give a result of hyperbolicity for linearized quasilinear first order non-conservative systems with involutions and a supplementary inequality of conservative form. We also indicate some of the circumstances in which, for studying the evolution systems for a class of continua near their equilibria, such result can be applied. Some remarkable examples are the cases of a certain generalization of Landau's two-fluid scheme for superfluid Helium II, of a hyperelastic body acted upon by suitable live body forces, and of various other models appeared in the literature.
On Continuum-theories Involving Quasi-linear 1st-order Nonconservative Systems With Involutions and A Supplementary Inequality
CARDIN, FRANCO;ZANZOTTO, GIOVANNI
1991
Abstract
In this note we give a result of hyperbolicity for linearized quasilinear first order non-conservative systems with involutions and a supplementary inequality of conservative form. We also indicate some of the circumstances in which, for studying the evolution systems for a class of continua near their equilibria, such result can be applied. Some remarkable examples are the cases of a certain generalization of Landau's two-fluid scheme for superfluid Helium II, of a hyperelastic body acted upon by suitable live body forces, and of various other models appeared in the literature.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
