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

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