Analysis and Approximation of Multicomponent Gas Mixtures

We consider a generalized system of Euler equations that describes the inviscid ow of a mixture of diierent gases. Systems of conservation laws of this type occur typically in the context of the numerical simulation of reacting gas ows. Results concerning the mathematical properties of the above model are presented. It turns out that a simple property of the thermodynamical equation of state ensures the hyperbolicity of the equation. The theoretical investigations are complemented by a numerical simulation of the Richtmyer-Meshkov instability.