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Title:
Generic global existence for the modified SQG equation
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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.
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