数学与统计学院学术报告[2021] 110号

(高水平大学建设系列报告610号)

报告题目: Mean field games master equations with non-separable Hamiltonian

报告人： 牟宸辰 博士 （　 香港城市　 大学）

报告时间：2021年11月15日 下午3:00

直播平台及链接： 腾讯会议、会议号：476 370 895　　　　　　　　　　　　　　 　　　　　

报告内容：In this talk, we give a structural condition on non-separable Hamiltonians, which we term displacement monotonicity condition, to study second order mean field games master equations. A rate of dissipation of a bilinear form is brought to bear a global (in time) well-posedness theory, based on a--priori uniform Lipschitz estimates in the measure variable. Displacement monotonicity being sometimes in dichotomy with the widely used Lasry-Lions monotonicity condition, the novelties of this work persist even when restricted to separable Hamiltonians. This is based on the joint work with W. Gangbo, A. Meszaros, J. Zhang.

报告人简历：Dr. Chenchen Mou received his bachelor's degree and master's degree in mathematics from Jilin University, China, in 2009 and 2011, respectively. He received his PhD in mathematics from Georgia Institute of Technology, USA, in 2016. Before joining City University of Hong Kong in 2020, he worked as an assistant adjunct professor at UCLA.

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　　　　　　　　　　　　　　　　　　 　　　　　　　数学与统计学院

　　　　　　　　　　　　　　　　　　　　　　　　　2021年11月12日