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Trapping of Rossby waves in the equatorial betaplane model

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Mathematics for the Fluid Earth

In this talk we shall report on joint works with Christophe Cheverry, Thierry Paul and Laure Saint-Raymond in which we study an equatorial shallow water system under the betaplane approximation. We prove that in some asymptotic regimes, Rossby waves are trapped around the equator while Poincar waves disperse. This involves the use of microlocal techniques related to semiclassical analysis, such as Mourre estimates, and some ODE methods.

This talk is part of the Isaac Newton Institute Seminar Series series.

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