活动时间：2026-04-24 15:00

活动地点：2号绅士漫画 楼2432

主讲人：Seung Yeal Ha

主讲人简介：

Seung-Yeal Ha 教授，韩国科学与工程院院士、首尔国立大学数学系教授，韩国科学奖、青年科学奖、KSIAM-Kumkok奖的获得者，国际数学家大会45分钟报告人。主要研究方向为双曲守恒律，气体动力学理论，多智能体系统的群体行为。

内容摘要：

In this talk, we discuss recent progress on the flocking estimates for the inertial spin(IS) model on the three-dimensional Euclidean space, and high-dimensional generalization of the three-dimensional one. For two-dimensional case, it reduces to the inertial Kuramoto model for synchronization. For quantitative flocking estimates, we derive a system of differential inequalities for relative kinetic and spin energies, and explicitly obtain exponential flocking under the proposed frameworks. We also introduce a high-dimensional inertial spin model which generalizes the inertial spin model on three-dimensional Euclidean space and study its emergent behaviors. For the generalization of the IS model to the high-dimensional Euclidean space, we replace the cross product by the multiplication via skew-symmetric matrix, and identify a new set of constants of motions which are conserved along the proposed model. We provide two frameworks leading to the collective behaviors of the high-dimensional IS model leading to qualitative and quantitative emergent dynamics in terms of system parameters and initial data.

主持人：杜玲珑