On the internal gravity waves in the stratified ocean with shear flows

TL;DR

This paper develops asymptotic methods to describe internal gravity waves in stratified oceans with shear flows, focusing on wave field representation and far-field dynamics.

Contribution

It introduces asymptotic algorithms and Green's function-based representations for internal gravity wave dynamics in stratified shear flows.

Findings

Derived asymptotic representations of wave fields.

Explored far-field wave behavior.

Proposed algorithms for wave dynamics calculation.

Abstract

In this paper, we consider a fundamental problem of describing the dynamics of internal gravity waves in the stratified ocean with shear flows. We develop an asymptotic representation of the wave fields in terms of the Green's functions. We explore the far field of the internal gravity waves generated by disturbing sources, and propose asymptotic algorithms for calculating its dynamics.