The development of three-dimensional waves generated by perturbations of varying intensity in a flow of continuously stratified fluid

Abstract

An analysis is made in the linear formulation of the three-dimensional structure of unsteady waves created in a flow of continuously stratified fluid by a region of pressures which are harmonic with respect to time.The three-dimensional problem of the generation of surface waves by a moving vibrator was first considered in [1] for a fluid occupying a half-space.This study was developed further in [2][3][4][5][6][7].A study of wave fronts corresponding to a moving vibrator was made in [8] for tunbounded uniformly stratified media.The original method proposed in [8] was then used to solve more general problems of waves excited in unbounded media by generators of varying intensity (see [9, I0] and the literature cited in them).A general procedure for the asymptotic analysis of three-dimensional waves generated by moving perturbations of varying intensity is proposed in [ll, 12] for a layer of continuously stratified fluid.Unsteady plane internal waves were studied in [13].