• THE EVOLUTION OF LINEARIZED PERTURBATIONS IN A TWO LAYERED STRATIFIED SHEAR FLOW

Abstract

The evolution of linearized disturbances in a two-layered stratified shear flow is studied by making use of the initial value problem approach. The resulting equation in time posed by using Squire transform and Fourier transform is solved for the Fourier amplitudes. The initial distributions that are considered are a point source of the field of transverse velocity and density. For small values of Brunt Väisälä frequency, the perturbation solutions are obtained.