Internal Gravity Waves Generated by an Oscillating Source of Perturbations Moving with Subcritical Velocity

Abstract

This paper considers the problem of constructing far-field asymptotics of internal gravity waves generated by an oscillating local source of perturbations moving in a stratified flow of finite depth. The velocity of the perturbation source does not exceed the maximum group velocity of an individual wave mode. The wave pattern consists of waves of two types: annular and wedge-shaped. Solutions expressed in terms of the Hankel function are obtained for the asymptotics of annular waves. The asymptotics of wedge-shaped waves are expressed in terms of the Airy function and its derivative.