On reactive gaseous mixtures: the kinetic description and the Maxwell-Stefan diffusion limit
In this talk with professor Francesco Salvarani, we consider a mathematical model of kinetic type for a reactive mixture of polyatomic gases with a continuous structure of internal energy and then we deduce the Maxwell-Stefan system for reacting mixtures in the non-isothermal setting.
The asymptotic analysis of the kinetic system is performed under a reactive-diffusive scaling for which mechanical collisions are dominant with respect to chemical reactions. The resulting system couples the Maxwell-Stefan equations for the diffusive fluxes with the evolution equations for the number densities of the chemical species and the evolution equation for the temperature of the mixture.
The production terms due to the chemical reaction and the Maxwell-Stefan diffusion coefficients are moreover obtained in terms of general collision kernels and parameters of the kinetic model.
Speaker's short bio:
Francesco Salvarani (Università di Pavia & De Vinci Research Center, PULV) is a physical-mathematical active in the fields of modelization and mathematical and numerical study of complex systems, described with equations and kinetic systems. He is author of more than 50 publications and has been invited by many universities in Europe, Asia and America.