# Wave topology brought to the coast

@article{Venaille2021WaveTB, title={Wave topology brought to the coast}, author={Antoine 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…

## 5 Citations

Topology of rotating stratified fluids with and without background shear flow

- Physics, Environmental Science
- 2021

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.…

Topological Langmuir-cyclotron wave

- Physics
- 2022

A theoretical framework is developed to describe the Topological Langmuir-Cyclotron Wave (TLCW), a recently identiﬁed topological surface excitation in magnetized plasmas. As a topological wave, the…

The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas

- Physics
- 2022

Yichen Fu∗ and Hong Qin† Princeton Plasma Physics Laboratory and Department of Astrophysical Sciences, Princeton University, Princeton, NJ 08540 Abstract Topological Langmuir-Cyclotron Wave (TLCW) is…

Berry-Chern monopoles and spectral flows

- PhysicsSciPost Physics Lecture Notes
- 2022

This lecture note adresses the correspondence between spectral flows, often associated to unidirectional modes, and Chern numbers associated to degeneracy points. The notions of topological indices…

Recent Developments in Theories of Inhomogeneous and Anisotropic Turbulence

- Mathematics
- 2022

Understanding inhomogeneous and anisotropic ﬂuid ﬂows require mathematical and computational tools that are tailored to such ﬂows and distinct from methods used to understand the canonical problem of…

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