Jeans instability for an inert binary mixture: a kinetic theory approach in the Euler regime

The Jeans stability criterium for gravitational collapse is examined for the case of an inert binary mixture in local equilibrium, neglectinq dissipative effects. The corresponding transport equations are established using kinetic theory within the Euler regime approximation. It is shown that the corresponding dispertion relation is modified, yielding corrections to the Jeans wave number. This formalism that can be generalized for several interesting cases involving dissipation.