Curvature flow with driving force on fixed boundary points

Date: 
2019/01/18 Fri 15:30 - 17:30
Room: 
Room 251, Building No.3
Speaker: 
Longjie Zhang
Affiliation: 
University of Tokyo
Abstract: 

In this research, we consider the curvature flow with driving force on fixed boundary points in the plane. We give a general local existence and uniqueness result of this problem with C^2 initial curve. For a special family of initial curves, we classify the solutions into three categories. Moreover, in each category, the asymptotic behavior is given.