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Mercredi 22 novembre

11h00 – 12h00, Amphi 5 du CPT

Asymptotics in the Problem on the Run-Up of Long Waves on a Shallow Beach

Vladimir Nazaikinskii (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences)

Résumé

We discuss near-boundary asymptotics for the solution of the Cauchy
problem for a degenerate wave equation with localized initial data
describing the run-up of long waves (e.g., tsunami waves) on a
shallow beach in the linear approximation. We show that problems of
this type are related to Dirac’s idea, realized by Fock more than
50 years ago, about the quantization of classical canonical
transformations.

The talk is based on joint work with S.Yu. Dobrokhotov and A.A.
Tolchennikov. The research was supported by the Russian Science
Foundation (project 16-11-10282).

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