Communications in Mathematical Sciences

Volume 14 (2016)

Number 2

A BGK relaxation model for polyatomic gas mixtures

Pages: 297 – 325



Marzia Bisi (Matematica e Informatica, Università di Parma, Italy)

Maria José Cáceres (Departamento de Matemática Aplicada, Universidad de Granada, Spain)


We present a BGK approximation of a kinetic Boltzmann model for a mixture of polyatomic gases, in which non-translational degrees of freedom of each gas are represented by means of a set of discrete internal energy levels. We also deal with situations, in which even chemical reactions implying transfer of mass may occur. The consistency of the proposed BGK model is proved in both inert and reactive frames, and numerical simulations in space homogeneous settings are presented.


polyatomic gas mixtures, Boltzmann equations, BGK relaxation models

2010 Mathematics Subject Classification

76P05, 80A30, 82C40

Published 14 December 2015