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Nonlinear Analysis

Generic global existence for the modified SQG equation

Javier Gomez Serrano, Brown University

Location:  Hill 705
Date & time: Tuesday, 05 December 2023 at 1:40PM - 2:40PM

Abstract: 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.