Green modified function of the equation of the internal gravity waves in the stratum of the stratified medium with constant average flow

TL;DR

This paper develops a modified Green function approach for internal gravity waves in stratified media with constant flows, improving solution representations especially in complex physical scenarios.

Contribution

It introduces a new modified Green function for internal gravity wave equations considering constant flows, enhancing analytical and computational modeling capabilities.

Findings

Properties of spectral problems are analyzed.

Modified eigenfunctions and eigenvalues are characterized.

Application potential in complex wave field scenarios is demonstrated.

Abstract

In the present paper construction of the modified function of Green equation for internal gravity waves in the stratum of the stratified medium at presence of constant average flows is considered, properties of the corresponding spectral problems, the modified eigenfunctions and eigenvalues are investigated. Usage of the modified function of Green equation can give in some physically interesting events more friendly representations of the solutions for the fields of the internal gravity waves, including the wave fields disturbed by the non-local disturbing bodies.