中科院数学与系统科学研究院

数学研究所

调和分析及其应用研究中心

学术报告

调和分析和偏微分方程研讨班

报告人：Zhenfu Wang (Peking university)

题  目：Uniform-in-time propagation of chaos for second order interacting particle systems

时  间：2024.04.16（星期二）16:00-17:00

地  点：S813

摘  要： We study the long time behavior of second order particle systems interacting through global Lipschitz kernels. Combining the hypocoercivity method by Villani and the relative entropy method by Jabin and Wang, we are able to overcome the degeneracy of diffusion in position direction by controlling the relative entropy and relative Fisher information together. This implies the uniform-in-time propagation of chaos through the strong convergence of all marginals. Our method works at the level of Liouville equation and relies on the Log Sobolev inequality of equilibrium of Vlasov-Fokker-Planck equation. This is based on a joint work with Yun Gong (Peking University) and Pengzhi Xie (Fudan University).