IJPAM: Volume 106, No. 1 (2016)

AN EXACT SOLUTION FOR THE MACROSCOPIC
APPROACH TO EXTENDED THERMODYNAMICS OF
DENSE GASES WITH MANY MOMENTS

M.C. Carrisi$^1$, R. Enoh Tchame$^2$, M. Obounou$^3$, S. Pennisi$^4$
$^{1,4}$Department of Mathematics and Informatics
University of Cagliari
Via Ospedale 72, 09124 Cagliari, ITALY
$^{2,3}$Department of Physics
University of Yaoundé I
Yaoundé, CAMEROON


Abstract. Extended Thermodynamics of Dense Gases with an arbitrary but fixed number of moments has been recently studied in literature; the arbitrariness of the number of moments is linked to a number $N$ and the resulting model is called an $(N)-Model$. As usual in Extended Thermodynamics, in the field equations some unknown functions appear; restriction on their generalities are obtained by imposing the entropy principle, the Galilean relativity principle and some symmetry conditions.

The solution of these conditions is called the "closure problem" and it has not been written explicitly because an hard notation is necessary, but it has been shown how the theory is self-generating in the sense that, if we know the closure of the $(N)-Model$, than we will be able to find that of the $(N+1)-Model$. Instead of this, we find here an exact solution which holds for every number $N$.

Received: November 22, 2015

AMS Subject Classification: 74A15, 76N15, 80A17

Key Words and Phrases: thermodynamics, gas dynamics, thermodynamics of continua

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DOI: 10.12732/ijpam.v106i1.13 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 1
Pages: 171 - 189


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