Analysis Seminar

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Generic global existence for the modified SQG equation

Speaker: Javier Gomez-Serrano, Brown University

Location: Warren Weaver Hall 1302

Date: Thursday, May 4, 2023, 11 a.m.

Synopsis:

In this talk, we will present a construction of global existence of small solutions of the modified SQG equations,
close to the disk. The proof uses KAM theory and a Nash-Moser argument and does not involve any external
parameters. We moreover prove that this phenomenon is generic: most solutions satisfy it. 

Joint work with Alex Ionescu and Jaemin Park.