Kelvin‐Helmholtz and Thermal‐dynamic Instabilities with Self‐Gravity: A New Gravitational Interface Instability

Abstract

In the vortex sheet limit, we generalize our previous work on compressible, anisentropic Kelvin-Helmholtz, and related instabilities by including self-gravity in the calculations. In addition to significantly modifying the Kelvin-Helmholtz modes, if the background media are of unequal density, self-gravity gives rise to a new instability that persists in the static limit. If the media have significant density contrast (rho(1)/rho(2)=1/2, say), the growth rate of this new gravitational interface instability is of the order of the free-fall time in the denser medium, and, unlike a Jeans instability, it depends only weakly on the perturbation wavelength. Such instabilities may initiate star formation near the boundaries of molecular clouds in the ISM on timescales of similar to 10(6)-10(7) yr.