IJPAM: Volume 67, No. 3 (2011)

A FURTHER CONDITION IN THE EXTENDED
MACROSCOPIC APPROACH TO RELATIVISTIC GASES

M.C. Carrisi
Dipartimento di Matematica e Informatica
Università degli Studi di Cagliari
Via Ospedale, 72, Cagliari, 09124, ITALY
e-mail: cristina.carrisi@tiscali.it


Abstract.An exact macroscopic extended model, with many moments, for relativistic gases has been recently proposed in literature. However, a further condition, arising from the exploitation of the entropy principle, has not been imposed, even if its presence is evident in the case of a charged gas and when the electromagnetic field acts as an external force. In the present paper we exploit it and we prove that it amounts in many identities plus some residual conditions which allow to determine the arbitrary single variable functions present in the general theory. The result is that they are polynomials of increasing degree with respect to equilibrium, which coefficients are arbitrary constants. Even in such case the macroscopic model remains more general than the kinetic one.

Received: December 9, 2010

AMS Subject Classification: 74A15

Key Words and Phrases: extended thermodynamics, fluid models, relativistic gases, entropy principle

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 67
Issue: 3