  In this article we deduce a mathematical model of Maxwell-Stefan type for a
reactive mixture of polyatomic gases with a continuous structure of internal
energy. The equations of the model are derived in the diffusive limit of a
kinetic system of Boltzmann equations for the considered mixture, in the
general 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 the collisional kernels and parameters of the kinetic
model.
