Entropic structure of multicomponent reactive flows with partial equilibrium reduced chemistry

In this paper, we investigate the system of equations modelling multicomponent reactive flows with detailed transport and complex chemistry in the limit of partial equilibrium. The reduced system is obtained using a projection step compatible with the chemical entropy production. The reduced multi-component transport and convection fluxes are shown to be compatible with the mathematical entropy thus providing a symmetric form as well as normal forms for the reduced system. This yields global existence and asymptotic stability around constant equilibrium states for the Cauchy problem on the partial equilibrium manifold in all space dimensions.