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Local well-posedness and singularity formation beyond the Yudovich class

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If you have a question about this talk, please contact Zexing Li.

In this talk, I will present recent results obtained in collaboration with Tarek M. Elgindi and Ryan M. Murray. We give a new supercritical class of data for the 2D Euler equation that allows for unbounded vorticities well beyond the Yudovich class. Within this class, we can demonstrate local existence and uniqueness of the solutions. Furthermore, we construct data for which a finite-time blow-up occurs.

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

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