IJPAM: Volume 106, No. 1 (2016)
APPROACH TO EXTENDED THERMODYNAMICS OF
DENSE GASES WITH MANY MOMENTS





University of Cagliari
Via Ospedale 72, 09124 Cagliari, ITALY

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 and the resulting model is called an
. 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 ,
than we will be able to find that of the
. Instead of this, we find here an
exact solution which holds for every number
.
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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