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Tuesday Seminar of Analysis
Seminar information archive ～06/23｜Next seminar｜Future seminars 06/24～
| Date, time & place | Tuesday 16:00 - 17:30 156Room #156 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | ISHIGE Kazuhiro, SAKAI Hidetaka, ITO Kenichi |
2025/07/08
16:00-17:30 Room #002 (Graduate School of Math. Sci. Bldg.)
Keisuke Takasao (Kyoto University)
Brakke's inequality and the existence of Brakke flow for volume preserving mean curvature flow (Japanese)
Keisuke Takasao (Kyoto University)
Brakke's inequality and the existence of Brakke flow for volume preserving mean curvature flow (Japanese)
[ Abstract ]
We consider the existence of the weak solutions to the volume preserving mean curvature flow. The Brakke flow defined using Brakke's inequality is well known as one of the weak solutions to the mean curvature flow. On the other hand, the volume preserving mean curvature flow has been studied via $L^2$-flow solution, BV solution, and flat flow, but the corresponding Brakke flow had not been considered so far. In this talk, we define the suitable Brakke flow for the volume preserving flow and show its global existence. This talk is based on joint works with Andrea Chiesa (University of Vienna).
We consider the existence of the weak solutions to the volume preserving mean curvature flow. The Brakke flow defined using Brakke's inequality is well known as one of the weak solutions to the mean curvature flow. On the other hand, the volume preserving mean curvature flow has been studied via $L^2$-flow solution, BV solution, and flat flow, but the corresponding Brakke flow had not been considered so far. In this talk, we define the suitable Brakke flow for the volume preserving flow and show its global existence. This talk is based on joint works with Andrea Chiesa (University of Vienna).
