Analysis of the Evolution of Hydrodynamic Instability at the Interface of Active and Passive Media

The evolution of an instability at the interface of active and passive media is considered. An asymptotic form of a collision integral is found and the limitations of hydrodynamic approach are determined. A growth increment of small perturbations of the interface is found using the potential flows theory. The obtained results were applied to estimation of the instability contribution to the development of some known physical processes.