Internal Gerstner waves: applications to dead water

@article{Stuhlmeier2013InternalGW,
  title={Internal Gerstner waves: applications to dead water},
  author={Raphael Stuhlmeier},
  journal={Applicable Analysis},
  year={2013},
  volume={93},
  pages={1451 - 1457}
}
  • R. Stuhlmeier
  • Published 12 March 2013
  • Mathematics
  • Applicable Analysis
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. 
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12 Citations
Background Citations
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12 Citations

Internal Gerstner waves on a sloping bed

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Instability of equatorially-trapped nonhydrostatic internal geophysical water waves

Exact Pollard-like internal water waves

  • M. Kluczek
  • Geology
    Journal of Nonlinear Mathematical Physics
  • 2018
In this paper we construct a new solution which represents Pollard-like three-dimensional nonlinear geophysical internal water waves. The Pollard-like solution includes the effects of the rotation of…

Progressive waves on a blunt interface

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Nonhydrostatic Pollard-like internal geophysical waves

  • M. Kluczek
  • Environmental Science
    Discrete & Continuous Dynamical Systems - A
  • 2019
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

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

An interfacial Gerstner-type trapped wave

Unsteady Gerstner waves

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

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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