Singular flows with time evolving weights

报告题目：Singular flows with time evolving weights

报 告 人： Immanuel Ben-Porat (University of Basel)

报告时间：2025年 8月1日下午 16：00-17：00

报告地点：思源楼525

邀请人： 夏旭

报告摘要：The derivation of kinetic equations as mean field limits from microscopic dynamics is a

 longstanding problem in kinetic theory which goes back to the work of Dobrushin in the late 70s. 

Recently, this derivation has been resolved for first order systems with Riesz type singularities in 

the work of Serfaty-Duerinckx and Bresch-Jabin-Wang via the renormalized modulated energy method. 

The aim of this talk would be to review these developments and explain how this approach can be 

incorporated within the framework of systems of trajectories which include weights evolving in time 

according to some appropriate ODE. At the macroscopic PDE level this corresponds to a nonlocal

transport equation with a nonlocal source terms. Joint work with Jose Carrillo and Pierre-Emmanuel Jabin. 

报告人简介：Immanuel Ben Porat received his PhD under the supervision of Francois Golse from Ecole 

Polytechnic. Then he held a postdoc position at Oxford University where he was mentored by Jose 

Carrillo and Gui-Qiang Chen. Currently he is a postdoctoral research assistant at university of Basel. 

His are of speciality are semi-classical analysis,mean field limits and kinetic PDEs.