数学研究所

杰出访问研究员学术报告会

Speaker: Sylvia SERFATY（Courant Institute of Mathematical Sciences, New York University）

Inviter: 阮国兴 副研究员

Language: English

Title: Mean-Field limits for singular flows by the modulated energy method

Time&Venue: 2025年4月28日（星期一）10:00-11:00&MCM110

Abstract: We consider a system of N points in singular interaction of Coulomb or Riesz type, evolving by gradient flow or conservative flow (such as the point vortex system in 2D) with or without noise. We discuss convergence to the mean-field limit by a modulated energy method, that relies on a commutator estimate. The method also allows to obtain global-in-time convergence in some settings.