时间:2025年5月30日(周五)14:00-15:00
地点:E4-233
主持人:Zhennan Zhou, ITS
主讲人:Seung Yeal Ha, Seoul National University
主讲人简介:Professor Seung Yeal Ha is a professor at the Department of Mathematical Sciences, Seoul National University in Korea since 2003. He was born in Jeonju of Jeonbuk Province on April 1st of 1971. He received a B.S. degree with Summa cum Laude from Seoul National University in 1997 and Ph.D. degree from Stanford University in 2001. After two and half year post-doc experience at University of Wisconsin-Madison right after his Ph.D., he has been working for Seoul National University. Ha’s primary research interests are applied nonlinear analysis such as hyperbolic conservation laws, the kinetic theory of gases and collective dynamics of many-body interacting systems, application of flocking theory to finance and sociology. To date, he has written more than three hundred research papers. He has received numerous honors and awards including 14th Presidential Young Scientist Award in 2010, 17th Korea Science Prize in 2017 and KSIAM-Kumkok prize in 2023. He has given several distinguished lectures in the past such as a plenary talk at 1st AMC(Asian Mathematics Conference) in 2013, and invited talk at ICM 2014 in Seoul, and a plenary talk at HYP 2014 (the largest conference in the hyperbolic problems) and keynote lecture at 32nd International Symposium on Rarefied Gas Dynamics in 2022. He is currently a member of the Korean Academy of Science and Technology.
讲座主题:Recent progress on the mean-field limits for collective dynamics models
讲座摘要: In this talk, we discuss recent progress on the mean-field limits of collective dynamics models such as the Cucker-Smale model and Kuramoto model. In particular, we present uniform stability estimates for the Cucker-Smale (here C-S) flocking model and the Kuramoto model with respect to the initial data. As a direct application of these uniform stability estimates, we discuss how the uniform-in-time mean-field limit can be made from the particle collective dynamics models in Wasserstein metric. This generalizes earlier results in which the rigorous mean-field limit has been studied only in a finite-time interval.