Dispersion relations for gravity water flows with two rotational layers

@inproceedings{Martin2015DispersionRF,
  title={Dispersion relations for gravity water flows with two rotational layers},
  author={Calin Iulian Martin},
  year={2015}
}
Abstract We derive the dispersion relation for periodic traveling water waves propagating at the surface of water possessing a layer of constant non-zero vorticity γ 1 adjacent to the free surface above another rotational layer of vorticity γ 2 which is adjacent to the flat bed. As a by-product we give necessary and sufficient condition for local bifurcation in the frame-work of piecewise constant vorticity. Moreover, we give estimates on the speed at the free surface of the bifurcating laminar… CONTINUE READING

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