  In this paper we deal with the existence of local strong solution for a
perfect compressible viscous fluid, heat conductive and self gravitating,
coupled with a first order kinetics used in astrophysical hydrodynamical
models. In our setting the vacuum is allowed and as a byproduct of the
existence result we get a blow-up criterion for the local strong solution.
Moreover we prove a blow-up criterion for the local strong solutions in terms
of the velocity gradient, the mass fraction gradient and the temperature
similar to the well known Beale-Kato-Majda criterion for ideal incompressible
flows.
