On the Rate of Growth of Disturbances in Rayleigh-Taylor Model

Abstract

On the basis of the linear theory of stability, the present paper makes an attempt to investigate theoretically the bounds for the rate of growth of an arbitrary disturbance in the Rayleigh-Taylor configuration. A circle theorem is established in this direction which arrests the complex amplification rate of an arbitrary oscillatory perturbation inside a circle. Certain other results concerning the above bounds and the stability of the model are also given.