# Internal Gerstner waves: applications to dead water

@article{Stuhlmeier2014InternalGW, title={Internal Gerstner waves: applications to dead water}, author={Raphael Stuhlmeier}, journal={Applicable Analysis}, year={2014}, volume={93}, pages={1451 - 1457} }

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

## 12 Citations

### Internal Gerstner waves on a sloping bed

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- 2014

We provide an explicit solution to the full, nonlinear governing equations for gravity water waves describing internal edge waves along a sloping bed. This solution is based on the Gerstner edge…

### Instability of equatorially-trapped nonhydrostatic internal geophysical water waves

- Physics, Environmental ScienceWave Motion
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### Progressive waves on a blunt interface

- Physics
- 2014

We present a new exact solution describing progressive waves on a blunt interface based on Gerstner's trochoidal wave. The second-order irrotational theory is developed for a sharp interface, and…

### Nonhydrostatic Pollard-like internal geophysical waves

- Environmental ScienceDiscrete & Continuous Dynamical Systems - A
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We present a new exact and explicit Pollard-like solution describing internal water waves representing the oscillation of the thermocline in a nonhydrostatic model. The derived solution is a…

### Aspects of the Mathematical Analysis of Nonlinear Stratified Water Waves

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- 2015

The mathematical analysis of stratified water waves, where the density distribution of the flow is free to fluctuate, is a highly intractable subject which is of great physical and geophysical…

### Global diffeomorphism of the Lagrangian flow-map for Equatorially-trapped internal water waves

- Mathematics
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### Global Diffeomorphism of the Lagrangian Flow-map for a Pollard-like Internal Water Wave

- MathematicsNonlinear Water Waves
- 2019

In this article we provide an overview of a rigorous justification of the global validity of the fluid motion described by a new exact and explicit solution prescribed in terms of Lagrangian…

### Global diffeomorphism of the Lagrangian flow-map for Pollard-like solutions

- Physics
- 2018

We present a rigorous analysis of the nonlinear surface waves in the presence of a zonal current under the effects of Earth’s rotation derived by Constantin and Monismith (J Fluid Mech 820:511–528,…

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