太阳集团72138网址-正规


数学系
金融数学、应用数学
物理系
光电子技术与通信、
信息功能材料
化学系
材料化学、分析科学
生物系
应用生物化学与食品安全、 海洋生物技术与药物开发
海洋生物研究所
生物医药与先进材料
研究中心

旧版链接


NONLOCAL INTERACTION EQUATIONS ON MANIFOLDS WITH BOUNDARY




报告人:吴丽江博士 (美国卡内基梅隆大学

报告题目:NONLOCAL INTERACTION EQUATIONS ON MANIFOLDS WITH BOUNDARY

报告时间:20131227日(星期五)1030

报告地点:数学实验室


Abstract: In this presentation, we discuss biological aggregation in a heterogeneous environment by modeling the environment as a Riemannian manifold with boundary. We develop gradient flow approach in the space of probability measures on the manifold endowed with Riemannian 2-Wasserstein metric. Wethen show the existence and stability of weak measure solutions to a class of nonlocal interaction equationsthrough the existence of gradient flows. We discuss how heterogeneity of the environment leads to newdynamical phenomena. In particular exposed to a unidirectional external potential the agents form a rollingtravelling wave (in contrast to the translational motion in the homogeneous environment). We close the presentation by giving some simulations to show the rolling phenomenon.

  

欢迎各位师生参加!