応用解析セミナー

過去の記録 ~02/07次回の予定今後の予定 02/08~

開催情報 木曜日 16:00~17:30 数理科学研究科棟(駒場) 002号室
担当者 石毛 和弘

2006年11月16日(木)

16:00-17:30   数理科学研究科棟(駒場) 056号室
奈良 光紀 氏 (東京工業大学)
The large time behavior of graphical surfaces in the mean curvature flow
[ 講演概要 ]
We are interested in the large time behavior of a surface in the whole space moving by the mean curvature flow. Studying the Cauchy problem on $R^{N}$, we deal with moving surfaces represented by entire graphs. We focus on the case of $N=1$ and the case of $N\\geq2$ with radially symmetric surfaces. We show that the solution converges uniformly to the solution of the Cauchy problem of the heat equation, if the initial value is bounded. Our results are based on the decay estimates for the derivatives of the solution. This is a joint work with Prof. Masaharu Taniguchi of Tokyo Institute of Technology.