Speaker: Dr. Qianqian Liu（刘倩倩博士）

Time: 10:00-11:00, 21 November 2025 (Friday) (Beijing time)

Venue: CC126 华信书院

Abstract

We develop a new regularized flow dynamic approach to construct efficient numerical schemes for Wasserstein gradient flows in Lagrangian coordinates. Instead of approximating the Wasserstein distance which needs to solve constrained minimization problems, we reformulate the problem using the Benamou-Brenier’s flow dynamic approach, leading to algorithms which only need to solve unconstrained minimization problem in L^2 distance. Our schemes automatically inherit some essential properties of Wasserstein gradient systems such as positivity-preserving, mass conservative and energy dissipation. We present ample numerical simulations of Porous-Medium equations, Keller-Segel equations and Aggregation equations to validate the accuracy and stability of the proposed schemes. Compared to numerical schemes in Eulerian coordinates, our new schemes can capture sharp interfaces for various Wasserstein gradient flows using relatively smaller number of unknowns.

About the Speaker

刘倩倩, 复旦大学理学博士, 苏州大学数学科学学院讲师. 主要关注梯度流和流相耦合问题的数值方法, 相关工作发表于J. Comput. Phys., J. Sci. Comput等期刊. 主持国家自然科学基金青年学生基础研究项目(博士研究生).