Internal Gerstner waves: applications to dead water

TL;DR

This paper presents an explicit solution for internal waves with a still water surface, modeling the dead water phenomenon using Gerstner wave solutions to the Euler equations.

Contribution

It introduces a novel explicit solution for internal waves in the dead water scenario based on classical Gerstner wave theory.

Findings

Provides a mathematical model for dead water internal waves

Demonstrates the applicability of Gerstner waves to internal wave phenomena

Offers insights into wave behavior with still water surface

Abstract

We give an explicit solution describing internal waves with a still water surface, modelling the dead water phenomenon, on the basis of the Gerstner wave solution to the Euler equations.