DYNAMICAL PRESSURE IN A POLYATOMIC GAS: INTERPLAY BETWEEN KINETIC THEORY AND EXTENDED THERMODYNAMICS

DYNAMICAL PRESSURE IN A POLYATOMIC GAS: INTERPLAY BETWEEN KINETIC THEORY AND EXTENDED THERMODYNAMICS
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DOI:
10.3934/krm.2018004
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发表时间:
2018-02-01
影响因子:
1
通讯作者:
Spiga, Giampiero
Spiga, Giampiero
中科院分区:
数学4区
文献类型:
--
作者:
Bisi, Marzia;Ruggeri, Tommaso;Spiga, Giampiero

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本文的目的是比较不同的动力学方法的多原子稀薄气体:动力学方法通过一个连续的能量参数I和混合的,基于离散的内部能量。我们证明了,如果我们只考虑6个时刻的非多变气体的两种方法给出相同的对称双曲微分系统先前获得的唯象扩展热力学。在本分析中,动压的意义和作用变得更加清楚。
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.