  Consistent BGK models for inert mixtures are compared, first in their kinetic
behavior and then versus the hydrodynamic limits that can be derived in
different collision-dominated regimes. The comparison is carried out both
analytically and numerically, for the latter using an asymptotic preserving
semi-Lagrangian scheme for the BGK models. Application to the plane shock wave
in a binary mixture of noble gases is also presented.
