Seminar Analysis and Mathematical Physics: Zineb Hassainia (New York University Abu Dhabi) [special time!]

Invariant KAM tori for the planar Euler equations

In this talk, I will discuss a recent result concerning the construction of quasi-periodic vortex patch solutions  with one hole for the 2D-Euler equations. These structures exist close to any annulus provided that its modulus belongs to a Cantor set with almost full Lebesgue measure. The proof is based on  a KAM reducibility scheme  and a  Nash-Moser iterative scheme. This is a joint work with Taoufik Hmidi and Emeric Roulley.

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