Low Mach Number Limits of Compressible Rotating Fluids

We consider the low Mach number limit for a compressible fluid rotating with a constant angular velocity in an exterior domain. The effect of Coriolis and centrifugal forces are taken into account, along with strong stratification due to the effect of gravitation. The anelastic approximation is identified as the limit problem. The main issue addressed in the paper is the interaction of the centrifugal force with acoustic waves.