Tuesday Seminar of Analysis

Seminar information archive ~04/06Next seminarFuture seminars 04/07~

Date, time & place Tuesday 16:00 - 17:30 Room # (Graduate School of Math. Sci. Bldg.)
Organizer(s) Kazuhiro Ishige, Yasuhito Miyamoto, Neal Bez, Hidetaka Sakai, Ryo Takada

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)
[ 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 ]
https://forms.gle/TrFmSZQ1ZeqvSjfP7