No.146 Seminar ： Mathematical analysis of evolving surfaces –
- Keisuke TAKASAWA (The Hakubi Center for Advanced Research/Department of mathematics)
- 2018/05/08 4:30pm
- The Hakubi Center for Advanced Research (Research Administration Building 1F)
- Japanese(This seminar is open for students and researchers at Kyoto Univ.)
Summary
As a physical phenomena, we can find many moving surfaces such as soap film, boundary between water and oil, metal grain boundary and so on. When looking at them carefully, it turns out that some topological changes occur, such as disappearance, tearing and overlapping. How can we mathematically analyze such complex movement phenomena? The mean curvature flow equation is known as one of the model equation of the evolving surfaces. However, the equation can not be considered at the singular points in the sense of the classical solution. We introduce that this problem can be analyzed by using concepts called the geometric measure theory and the weak solution, and explain the existence theorem of the weak solution obtained in recent years. In this talk we will not assume advanced preliminary knowledge of mathematics.