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Résumé |
Over the last decades, concepts from topology have been proven useful to
understand peculiar wave properties in a variety of physical systems. Topology
predicts the number of unidirectional modes trapped along interfaces or
boundaries. The topological origin of a wave usually guarantees its robustness
against disorder or changes of parameters in the problem. We will present
recent applications to geophysical and astrophysical fluid dynamics, from
equatorial waves encountered in El Nino phenomenon to internal waves
encountered in stably stratified layers of stars. These geophysical exemples
also provide interesting situations with apparent violation of a central
concept called the bulk-edge correspondence, which needs to be carefully
revisited in the case of continuous media. |
