Title：Optimal transport with discrete long range mean field interactions

Speaker：Jiakun Liu （University of Wollongong）

Time：2018年12月7日（周五）   上午 10:00-11:00

Room：东区管理科研楼  数学科学学院1418室

Abstract：We study an optimal transport problem where, at some intermediate time, the mass is accelerated by either an external force field, or self-interacting. We obtain regularity of the velocity potential, intermediate density, and optimal transport map, under conditions on the interaction potential that are related to the so-called Ma-Trudinger-Wang condition from optimal transport. This is a joint work with Gregoire Loeper.