IJPAM: Volume 49, No. 4 (2008)

A NEW WAY TO OBTAIN, WITHOUT USING EXPANSIONS,
A 14 MOMENTS MODEL IN EXTENDED THERMODYNAMICS

M.C. Carrisi$^1$, S. Pennisi$^2$
$^{1,2}$Dipartimento di Matematica ed Informatica
Universitá degli Studi di Cagliari
Via Ospedale 72, 09124, Cagliari, ITALY;
$^1$e-mail: cristina.carrisi@tiscali.it
$^2$e-mail: spennisi@unica.it


Abstract.In this paper we consider a 14 moments model for Extended Thermodynamics in the case where the flux appearing in a balance equations is not an independent variable of the subsequent balance equation, except for the conservation law of mass, whose subsequent one is the conservation law of momentum; moreover the symmetry of the fluxes is requested only for the stress tensor, in order to obtain conservation of angular momentum. Solutions of the restrictions imposed by the entropy principle and that of Galilean relativity for such a model have been until now obtained in literature only in an approximate manner up to a certain order with respect to thermodynamic equilibrium; for more restrictive models they have been obtained up to whatever order, but by using Taylor expansions around equilibrium and without proving convergence. Here we have found an exact solution without using expansions.

Received: August 14, 2008

AMS Subject Classification: 26A33

Key Words and Phrases: extended thermodynamics

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 49
Issue: 4