Multicomponent transport in polyatomic reactive gas mixtures

We investigate multicomponent reactive flow models derived from the kinetic theory of gases. We discuss in particular the conservation equations, the transport fluxes and the transport coefficients in weak and strong magnetic fields. The mathematical properties of the resulting hyperbolic-parabolic systems of partial differential equations modeling multicom-ponent flows are deduced from the underlying kinetic framework. The structure and solution of the transport linear systems associated with the evaluation of transport coefficients are also addressed. In particular, the convergence of iterative techniques is deduced from the properties of the linearized Boltzmann collision operator. The impact of multicomponent transport is also discussed, notably the importance of Soret effects in various flows and the impact of volume viscosity.