Wave topology brought to the coast

@article{Venaille2021WaveTB,
  title={Wave topology brought to the coast},
  author={A. Venaille and Pierre Delplace},
  journal={Physical Review Research},
  year={2021}
}
Since the pioneering work of Kelvin on Laplace tidal equations, a zoology of trapped waves have been found in the context of coastal dynamics. Among them, the one originally computed by Kelvin plays a particular role, as it is an unidirectional mode filling a frequency gap between different wave bands. The existence of such Kelvin waves is robust to changes in the boundary shape and in changes of the underlying model for the coast. This suggests a topological interpretation that has yet up to… 

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Topology of rotating stratified fluids with and without background shear flow
Poincaré-gravity modes described by the shallow water equations in a rotating frame have nontrivial topology, providing a new perspective on the origin of equatorially trapped Kelvin and Yanai waves.

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TLDR
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