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Tuesday Seminar of Analysis
Seminar information archive ～07/26｜Next seminar｜Future seminars 07/27～
| Date, time & place | Tuesday 16:00 - 17:30 156Room #156 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | ISHIGE Kazuhiro, SAKAI Hidetaka, ITO Kenichi |
2024/06/18
16:00-17:30 Room #128 (Graduate School of Math. Sci. Bldg.)
MORI Ryunosuke (Meiji University)
Blocking and propagation in two-dimensional cylinders with spatially undulating boundary (Japanese)
https://forms.gle/TrFmSZQ1ZeqvSjfP7
MORI Ryunosuke (Meiji University)
Blocking and propagation in two-dimensional cylinders with spatially undulating boundary (Japanese)
[ Abstract ]
We consider blocking and propagation phenomena of mean curvature flow with a driving force in two-dimensional cylinders with spatially undulating boundary. In this problem, Matano, Nakamura and Lou in 2006, 2013 characterize the effect of the shape of the boundary to blocking and propagation of the solutions under some slop condition about the boundary that implies time global existence of the classical solutions. In this talk, we consider the effect of the shape of the boundary to blocking and propagation of this problem under more general situation that the solutions may develop singularities near the boundary.
[ Reference URL ]We consider blocking and propagation phenomena of mean curvature flow with a driving force in two-dimensional cylinders with spatially undulating boundary. In this problem, Matano, Nakamura and Lou in 2006, 2013 characterize the effect of the shape of the boundary to blocking and propagation of the solutions under some slop condition about the boundary that implies time global existence of the classical solutions. In this talk, we consider the effect of the shape of the boundary to blocking and propagation of this problem under more general situation that the solutions may develop singularities near the boundary.
https://forms.gle/TrFmSZQ1ZeqvSjfP7
