Recent full hydrodynamic simulations of a sonoluminescing bubble interior h
ave shown that the bubble content is compressed to a very dense state durin
g the violent collapse. In this paper, we numerically studied the shape sta
bility of a radially oscillating gas bubble by using Hilgenfeldt et al. the
oretical model with corrections taking into account the gas density effect.
Our results show that gas density Variations not only significantly suppre
ss the Rayleigh-Taylor instability, but also enhance the threshold of the p
arametric instability under sonoluminescence conditions.