Séminaire Analyse Numérique et EDP
Disproving the Deift conjecture: the loss of almost periodicity
March 2024
Intervenant : Andreia Chapouto
Institution : University of Edinburgh
Heure : 14h00 - 15h00
Lieu : 3L8

In 2008, Deift conjectured that almost periodic initial data leads to almost periodic solutions to the Korteweg-de Vries equation (KdV). In this talk, we show that this is not always the case. Namely, we construct almost periodic initial data whose KdV evolution remains bounded but loses almost periodicity at a later time, by building on the new observation that the conjecture fails for the Airy equation. This is joint work with Rowan Killip and Monica Visan.

There will be an introductory talk by Patrick Gérard at 13:30 in the same room.

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