Asymptotic Analysis of Gradient Systems
Speaker: Professor Qing Han (University of Notre Dame)
Abstract: In this series of lectures, we study asymptotic behaviors of global and bounded solutions of gradient differential systems and discuss how to derive the long-time convergence of solutions by “gradient inequalities”. The idea that gradient inequalities force convergence of solutions of gradient systems was known to Lojasiewicz, who derived his celebrated gradient inequality for analytic gradient maps on finite-dimensional spaces. Simon proved infinite-dimensional gradient inequalities for analytic gradient maps associated with variational problems. The techniques developed by Lojasiewicz and Simon have been improved and applied to many problems.
Schedule:
9:00 am to 11:00 am, March 6, 2023 (Monday), Beijing Time
9:00 am to 11:00 am, March 9, 2023 (Thursday), Beijing Time
8:30 am to 10:30 am, March 13, 2023 (Monday), Beijing Time
8:30 am to 10:30 am, March 16, 2023 (Thursday), Beijing Time
8:30 am to 10:30 am, March 20, 2023 (Monday), Beijing Time
8:30 am to 10:30 am, March 23, 2023 (Thursday), Beijing Time
8:30 am to 10:30 am, March 27, 2023 (Monday), Beijing Time
8:30 am to 10:30 am, March 30, 2023 (Thursday), Beijing Time
8:30 am to 10:30 am, April 3, 2023 (Monday), Beijing Time
8:30 am to 10:30 am, April 6, 2023 (Thursday), Beijing Time
Venue: Tencent Meeting
Meeting ID: 351 4088 5845 (March 6-March 23),
333 6282 7576 (March 27-April 6)
Password: 271828
