报告题目 (Title): Two-dimensional signal-dependent parabolic-elliptic Keller-Segel system and its mean field derivation (三)
(二维奇性依赖的抛物-椭圆型的Keller-Segel方程和其平均场极限推导)
报告人 (Speaker):Lukas Bol 博士(曼海姆大学)
报告时间 (Time):2025年11月4日(周二)10:00
报告地点 (Place):校本部GJ303
邀请人(Inviter):盛万成 教授
主办部门:太阳集团官网8722数学系
报告摘要:We continue to show the error estimates. Based on estimates we obtained for the density of cells, the rigorous mean-field derivation is proved by introducing an intermediate particle system with a mollified interaction potential with logarithmic scaling. By using this mollification, we obtain the convergence of the particle trajectories in expectation, which implies the weak propagation of chaos.