One-phase contact point dynamics in Hele-Shaw cells
数学专题报告
报告题目(Title)：One-phase contact point dynamics in Hele-Shaw cells
报告人(Speaker)：Prof. Francisco Gancedo (University of Seville, Spain)
地点(Place)：Zoom 会议 ID：881 551 27666, 密码：123456, Zoom Link: https://us02web.zoom.us/j/88155127666
时间(Time)： 2025 年 05 月 20 日（周二） 16:00--17:00
邀请人(Inviter)：薛留堂
报告摘要
In this talk, we present a new result on the dynamics of 2D one-phase contact points in Hele-Shaw cells. Assuming vertical impermeable walls, we derive global-in-time energy estimates for initial data close to the stationary state. Exploiting the Neumann problem solved by the velocity potential, the analysis is carried out in non-weighted $L^2$ based Sobolev spaces, without imposing restrictions on the size of the contact angles.
