Dynamical pressure in a polyatomic gas: Interplay between kinetic theory and extended thermodynamics

Marzia Bisi; Tommaso Ruggeri; Giampiero Spiga

doi:10.3934/krm.2018004

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2018, Volume 11, Issue 2: 1-25. Doi: 10.3934/krm.2018004

This issue Previous Article Mathematical modeling of a discontinuous solution of the generalized Poisson--Nernst--Planck problem in a two-phase medium Next Article Local well-posedness of the full compressible Navier-Stokes-Maxwell system with vacuum

Dynamical pressure in a polyatomic gas: Interplay between kinetic theory and extended thermodynamics

1.
Dip. di Scienze Matematiche, Fisiche e Informatiche, Universitá di Parma, Parco Area delle Scienze 53/A, I-43124 Parma, Italy
2.
Dip. di Matematica and Alma Mater Research Center, on Applied Mathematics AM$^2$, Via Saragozza, 8,40123 Bologna, Italy

* Corresponding author: T. Ruggeri
* Corresponding author: T. Ruggeri

Received: October 31, 2016

Published: March 2018

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The aim of this paper is to compare different kinetic approaches to a polyatomic rarefied gas: the kinetic approach via a continuous energy parameter I and the mixture-like one, based on discrete internal energy. We prove that if we consider only 6 moments for a non-polytropic gas the two approaches give the same symmetric hyperbolic differential system previously obtained by the phenomenological Extended Thermodynamics. Both meaning and role of dynamical pressure become more clear in the present analysis.

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Mathematics Subject Classification: Primary:80A05, 76P05;Secondary:82C40.

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