On self-similar finite-time blowups of the incompressible Euler equations and related models
数学专题报告
报告题目(Title)：On self-similar finite-time blowups of the incompressible Euler equations and related models
报告人(Speaker)：黄得（北京大学）
地点(Place)：后主楼1124
时间(Time)：2026年3月27日（周五）10:00-11:00
邀请人(Inviter)：薛留堂
报告摘要
It remains an open problem whether the 3D incompressible Euler equations can develop finite-time singularity from smooth initial data in the whole space. In this talk, I will review some most recent results on finite-time blowups mostly with self-similar features, divided into two parts. In the first part, I will talk about traditional self-similar finite-time blowup and the dynamic rescaling method for establishing asymptotically self-similar finite-time blowup. In the second part, I will talk about recent findings on potential self-similar finite-time blowups of the 3D Euler equations with multi-scale features, which are closely related to traveling wave solutions and provide a new approach towards Euler singularity.
