https://cnrs.hal.science/hal-03908353Bisi, MarziaMarziaBisiUNIPR - Università degli studi di Parma = University of ParmaBorsoni, ThomasThomasBorsoniLJLL (UMR_7598) - Laboratoire Jacques-Louis Lions - SU - Sorbonne Université - CNRS - Centre National de la Recherche Scientifique - UPCité - Université Paris CitéGroppi, MariaMariaGroppiUNIPR - Università degli studi di Parma = University of ParmaAn internal state kinetic model for chemically reacting mixtures of monatomic and polyatomic gasesHAL CCSD2022kinetic theorygas mixturespolyatomic gaseschemical reactionsinternal energy[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph][MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]Borsoni, Thomas2022-12-20 15:35:432023-02-11 04:05:182023-01-06 11:04:53enPreprints, Working Papers, ...application/pdf1We propose a general kinetic framework for the description of a mixture of nonrelativistic mono-or polyatomic gases undergoing any number of bi-molecular reactions. The description of the internal structure of the molecules is kept general, in order to model it according to the physical properties of the considered species. The possibility of keeping separate rotational and vibrational energies of polyatomic particles is thus included in the present framework. Moreover, activation energy for chemical reactions is taken into account, allowing to accurately describe the kinetics of the chemical process. We prove the validity of the H-Theorem, we recover the expected Maxwellian equilibrium distributions joint with the mass-action laws of chemical reactions, and we obtain an explicit formula for the rate constant of a given chemical reaction. The system of Euler equations in the case of moderately slow chemical reactions is also derived.