报告题目 (Title)： Two-dimensional signal-dependent parabolic-elliptic Keller-Segel system and its mean field derivation (四)
（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）14:00
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 finish the discussion of the convergence of the particle trajectories. Under a regularity assumption of the initial data, we can use the relative entropy method to derive the strong convergence for the propagation of chaos, at least for short times. These restrictions are due to the term , which requires a uniform bound in time and space. Therefor we introduce an equation for . The regularity assumption of the initial data allows us to infer uniform bounds on higher derivatives of and , which appear as coefficients in the equation for . Now the uniform bound for can be shown by a fix-point argument.
