报告时间：2024年11月6日下午15:00-17：00

Zoom会议：656 484 6175

报告人：Marco Cirant副教授 （意大利帕多瓦大学）

报告题目：On the long time behavior of equilibria in a Kuramoto Mean Field Game

报告摘要：

In a recent work, R. Carmona, Q. Cormier and M. Soner revised the classical Kuramoto model, originally motivated by systems of chemical and biological oscillators, within the large population differential game framework of MFG. These MFG model exhibits several stationary equilibria, and the question of their ability to capture long time limits of dynamic equilibria is largely open. I will discuss in the talk how to show that (up to translations) there are two possible stationary equilibria only - the incoherent and the synchronised one - provided that the interaction parameter is large enough. Finally, I will present some local stability properties of the synchronised equilibrium.

主讲人简介：Marco Cirant现为帕多瓦大学副教授。他于2014年在帕多瓦大学取得博士学位，然后在米兰大学做博士后。Cirant教授研究兴趣为半线性及完全非线性椭圆、抛物方程的定性分析。特别地，他在平均场博弈模型、Hamilton-Jacobi方程解最大正则性理论等研究中取得了系列成果，在JEMS, Math Ann., JMPA, ARMA等著名数学期刊上发表多篇高质量科研论文。