欢迎大家周四（8/15）上午10点 来数学中心813教室听报告，报告人王丽是金石的学生，现在在美国明尼苏达大学数学系任教。

Speaker: Li Wang （assistant professor，University of Minnesota)

时间：2019年 8月15日 上午10：00-12：00

Title: Variational numerical methods for Wasserstein gradient flow

Abstract: We develop a variational method for nonlinear equations with a gradient flow structure. Such equations arise in applications of a wide range, such as porous median flows, material science, animal swarms, and chemotaxis. Our method builds on the JKO framework, which evolves the equation as a gradient flow with respect to the Wasserstein metric. As a result, our method has built-in positivity preserving, entropy decreasing properties, and overcomes stability issue due to the strong nonlinearity and degeneracy. We further modify the formulation by adding a Fisher information regularization so that second order information can be used to accelerate the convergence.