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On the construction of analytic almost-sharp fronts for SQG

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Almost-sharp fronts for the Surface Quasi-geostrophic equation are the analogous scenario to vortex tubes for 3D Euler. In this talk I will describe this connection and a program in collaboration with Charles Fefferman to construct families of almost-sharp fronts with arbitrarily large gradient but simple geometry. The existence of these families can be used to understand the evolution of fronts for SQG without relying on any tools not available in the study of isolated vortex lines for 3D Euler.

This talk is part of the Partial Differential Equations seminar series.

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