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Singularity formation of two fluid equations
PDE and Applied Math Seminar| Speaker: | Fan Zheng, ICMAT |
| Location: | Zoom https://ucdavis.zoom.us/j/92430148899 |
| Start time: | Thu, Nov 16 2023, 4:10PM |
I will talk about two closely related blow-up results. The first is a non-asymptotically self-similar blow-up for the De Gregorio equation, using a novel mecanism that models the blow-up on a Riccati-type infinite system of ODEs. The second is a non-asymptotically self-similar blow-up for the 3D incompressible Euler equation without swirl, which improves on Elgindi's construction, in the sense that the number of singularities in the initial data is minimized.