A kinetic model of polyatomic gas with resonant collisions

被引：3

作者：

Boudin, Laurent ^{[1
]}

Rossi, Alex ^{[2
]}

Salvarani, Francesco ^{[3
,4
]}

机构：

[1] Sorbonne Univ, Univ Paris Cite, Lab Jacques Louis Lions LJLL, CNRS, F-75005 Paris, France

[2] Friedrich Alexander Univ Erlangen Nurnberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany

[3] Leonard de Vinci Pole Univ, Res Ctr, F-92916 Paris, France

[4] Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 5, I-27100 Pavia, Italy

来源：

RICERCHE DI MATEMATICA | 2024年 / 73卷 / 05期

关键词：

Kinetic theory; Resonant collisions; Boltzmann equation; BOLTZMANN-EQUATION; BGK MODEL; MIXTURE;

D O I：

10.1007/s11587-022-00733-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a kinetic model describing a polyatomic gas undergoing resonant collisions, in which the microscopic internal and kinetic energies are separately conserved during a collision process. This behaviour has been observed in some physical phenomena, for example in the collisions between selectively excited CO2 molecules. We discuss the model itself, prove the related H-theorem and show that, at the equilibrium, two temperatures are expected. We eventually present a numerical illustration of the model and its main properties.

引用

页码：2411 / 2424

页数：14

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