Rayleigh-taylor and kelvin-helmholtz instability of compressible fluid
可压缩流体的Rayleigh-Taylor和Kelvin-Helmholtz不稳定性

The role of fluid compressibility in Rayleigh-Taylor and Kelvin-Helmholtz instability is studied when the state equation of compressible fluid is an arbitrary function of density and pressure. It shows that in the Rayleigh-Taylor instability the density distributing induced by the gravity is a stable factor, while the fluid expanding and compressing effect is an instable factor. It also shows that in the Rayleigh-Taylor instability the compressibility of upper heavier fluid is a stable factor, while the compressibility of lower lighter fluid is an instable factor, and in the Kelvin-Helmholtz instability the compressibility of upper and lower fluid is an instable factor.