Internal Gerstner waves: applications to dead water

Abstract

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.

Keywords:

• Gerstner waves
• trochoidal waves
• dead water
• internal waves

AMS Subject Classifications:

• 76B55
• 76B15

Acknowledgments

The author is grateful to the anonymous referees for their helpful comments. Support from ERC Grant NWFV – Non-linear studies of water flows with vorticity is likewise gratefully acknowledged.