Asymptotic stability and relaxation for fast chemistry fluids

Global existence for multicomponent reactive fluids with fast chemistry is investigated. The system of partial differential equations derived from the kinetic theory is symmetrizable hyperbolic-parabolic with stiff chemical sources. New a priori estimates are obtained uniformly with respect to chemistry relaxation times and lead to asymptotic stability results for well prepared initial conditions. Convergence towards the chemical equilibrium fluid model when chemistry times go to zero is established as well as error estimates.