IJPAM: Volume 52, No. 1 (2009)
IN EXTENDED THERMODYNAMICS




Universitá di Cagliari
Via Ospedale 72, Cagliari, 09124, ITALY



Abstract.Some years ago, Professor Brini and Ruggeri exploited the
theories, that is theories in Extended Thermodynamics of
moments and of degree
; the index
represents the approximation degree for the distribution function, through its formal expansion in the neighborhood of the Maxwellian distribution. They proved, through simple examples of stationary problems that the entropy principle fails in general, if all the non-equilibrium variables are of the same order of magnitude; this is because some ``critical derivatives" are not small along all the solutions.
Here we show that the above results do not mean that in the previous theory there is something wrong. We show also other ways to overcome the above mentioned difficulties.
Received: March 20, 2009
AMS Subject Classification: 80A10
Key Words and Phrases: extended thermodynamics, entropy principle
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 52
Issue: 1