报告题目 (Title)：A new flow dynamic approach for Wasserstein gradient flows.
（一种新的Wasserstein梯度流动态方法）
报告人 (Speaker)：程青 特聘研究员（同济大学）
报告时间 (Time)：2025年11月19日（周三）13:00
报告地点 (Place)：校本部F309
邀请人(Inviter)：李新祥
主办部门：理学院数学系
报告摘要：We develop a new flow dynamic approach for Wasserstein gradient flows. Motivatied by the classic JKO scheme, we develop a new class of Lagrangian schemes which only need to solve minimization problems with respective to displacement instead of density and velocity. The new approach can effectively capture the movement of the trajectory of meshes, and also can automatically preserve the nice properties of Wasserstein gradient flow structure, for example, positivity-preserving, mass conserving and energy dissipation.Numerical experiments are shown in 1D and 2D for Keller-Segel equations,Focker-Plancker equations, Porous medium equations.
