报告题目：Stochastic Cucker-Smale Model: Collision-Avoidance and Flocking

主 讲 人：黄乔

单 位：里斯本大学

时 间：10月10日16:00

腾 讯 ID：551 296 638

摘 要：

In this talk, we consider the Cucker-Smale flocking model involving both singularity and noise. We first show the local strong well-posedness for the system, in which the communication weight is locally Lipschitz beyond the origin. Then, for the special case that the communication weight has a strong singularity at the origin, we establish the global well-posedness by showing the finite time collision-avoidance. Finally, we study the large time behavior of the system when the communication weight is of zero lower bound. The conditional flocking emerges for the case of constant noise intensity, while the unconditional flocking emerges for various time-varying intensities and long-range communications. This is a joint work with X. Zhang.

简 介：

黄乔，本科、博士毕业于华中科技大学。于2017-2019年在美国伊利诺伊大学香槟分校做访问学者。现获得葡萄牙FCT博士后奖学金，在里斯本大学做博士后，合作导师为Jean-Claude Zambrini。研究方向包括随机微分方程、随机与微分几何、随机动力系统等。