On self-similar finite-time blowups of the incompressible Euler equations and related models

Speaker: 黄得 研究员，北京大学数学科学学院

Inviter: 秦国林 副研究员

Title: On self-similar finite-time blowups of the incompressible Euler equations and related models

Time & Venue: 2025.7.2 9:30-10:30  南楼613

Abstract: 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 with self-similar features, divided into three parts. In the first part, I will talk about the dynamic rescaling method for establishing asymptotically self-similar finite-time blowup with rigorous computer-assisted proof. 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 may provide a new approach towards Euler singularity.