报告题目：Potential multi-scale finite-time blowups of the incompressible Euler equations

报告人：黄得（北京大学）

报告时间：2024年4月20日08:00-09:30

报告地点：数统学院208（腾讯会议 932 495 5583）

邀请单位：福州大学数学与统计学院

报告内容简介：

It remains an open problem whether the 3D incompressible Euler equations can develop finite-time singularity from smooth initial data in the whole space. Recent numerical results indicate the potential existence of self-similar finite-time blowups with multi-scale features. Different from the conventional one-scale blowup that has been established for many models of the 3D Euler equations, this new type of blowup is closely related to traveling wave solutions and may provide a new approach to studying Euler singularity. We will first present some related numerical findings, and then we will show that multi-scale self-similar blowups can be proved analytically for a simple model of the 3D Euler equations.

报告人简介：

黄得，北京大学数学科学学院研究员。2015年获北京大学学士学位、物理双学位，2020年获美国加州理工学院应用数学博士学位，2022年入选海外优青项目。主要研究领域是流体偏微分方程和随机矩阵理论，着重于Navier-Stokes方程和Euler方程的爆破问题, 及涉及随机矩阵算法的应用问题。目前已在包括《Comm. Pure Appl. Math.》,《Adv. Math》,《Ann. PDE.》,《Comm. Math. Phys.》等国际著名SCI数学期刊上发表论文10余篇。