IJPAM: Volume 40, No. 2 (2007)

THE EXACT MACROSCOPIC APPROACH TO
EXTENDED THERMODYNAMICS WITH MANY MOMENTS

M.C. Carrisi$^1$, S. Pennisi$^2$, A. Scanu$^3$
$^{1,2,3}$Dipartimento di Matematica ed Informatica
Università degli Studi di Cagliari
Via Ospedale 72, Cagliari, 09124, ITALY
$^1$e-mail: cristina.carrisi@tiscali.it
$^2$e-mail: spennisi@unica.it
$^3$e-mail: scanu.erice@tiscali.it


Abstract.Extended thermodynamics is a very important theory: for example, it predicts hyperbolicity, finite speeds of propagation waves as well as continuous dependence on initial data. Therefore, it constitutes a significative improvement of ordinary thermodynamics. Here its methods are applied to the case of an arbitrary, but fixed, number of moments. The kinetic approach has already been developed in literature; then, the macroscopic approach is here considered and the constitutive functions appearing in the balance equations are determined up to whatever order with respect to thermodynamical equilibrium. The results of the kinetic approach are a particular case of the present ones.

Received: July 19, 2007

AMS Subject Classification: 80A10

Key Words and Phrases: extended thermodynamics, fluid mechanics, thermodynamics field theories

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 40
Issue: 2