偏微分方程研讨班：Singularity formation of two fluid equations

中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人：Fan Zheng ( Autónoma de Madrid, Madrid Spain)   

题  目：Singularity formation of two fluid equations

时  间：2023.11.13（星期一）16:00-17:00

地  点：腾讯会议：992-546-306

摘 要：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.