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Topology of shallow-water waves on the rotating sphere
Nicolas Perez, Armand Leclerc, Guillaume Laibe +1
Topological properties of the spectrum of shallow-water waves on a rotating spherical body are established. Particular attention is paid to its spectral flow, i.e. the modes whose…
Unidirectional modes induced by nontraditional Coriolis force in stratified fluids
Nicolas Perez, Pierre Delplace, Antoine Venaille
Using topology, we unveil the existence of new unidirectional modes in compressible rotating stratified fluids. We relate their emergence to the breaking of time-reversal symmetry…
Wave topology brought to the coast
Antoine Venaille, Pierre Delplace
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 comput…
Manifestation of Berry curvature in geophysical ray tracing
Nicolas Perez, Pierre Delplace, Antoine Venaille
Geometrical phases, such as the Berry phase, have proven to be powerful concepts to understand numerous physical phenomena, from the precession of the Foucault pendulum to the quan…
A bulk-interface correspondence for equatorial waves
Clément Tauber, Pierre Delplace, Antoine Venaille
Topology is bringing new tools for the study of fluid waves. The existence of unidirectional Yanai and Kelvin equatorial waves has been related to a topological invariant, the Cher…
Topological transition in stratified fluids
Manolis Perrot, Pierre Delplace, Antoine Venaille
Lamb waves are trapped acoustic-gravity waves that propagate energy over great distances along a solid boundary in density stratified, compressible fluids. They constitute useful i…