中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
偏微分方程讨论班
Speaker: Sylvia Serfaty (Sorbonne Université & New York University)
Inviter: 薛志龙
Language: English
Title: Singular mean-field limits via a multiscale mollification metric
Time & Venue: 2026年9月22日 15:30-16:30 Zoom: 3732273489 Passcode: PDE2026
Abstract: We are interested in the question of mean-field limits, or deriving effective evolution equations of PDE type for a system of N points in singular interaction, for instance of Coulomb or Riesz nature, evolving by first order dynamics. The modulated energy method works well for gradient flows or conservative flows of Coulomb/Riesz type energies. We will present here a new method based on a multiscale mollification metric, which works well for up to Coulomb interaction singularity, without much structure assumed.