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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.