Singularity formation of two fluid equations
数学专题报告
报告题目(Title): Singularity formation of two fluid equations
报告人(Speaker):郑凡 (西班牙ICMAT研究所)
地点(Place):Zoom 会议 ID:967 512 75379, 密码:123456, Zoom Link: https://zoom.us/j/96751275379
时间(Time):2023 年 11 月 20 日(周一) 16:00--17:00
邀请人(Inviter):薛留堂
报告摘要
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.