偏微分方程式セミナー(2014/5/26):A regularity theorem for Brakke’s curvature flow of networks, 利根川 吉廣氏 (北海道大学)

開催日時
2014年   5月 26日 16時 30分 ~ 2014年   5月 26日 17時 30分
場所
北海道大学理学部3号館3-309室
講演者
利根川 吉廣氏(北海道大学大学院理学研究院)
 
The talk concerns a regularity problem
on general Brakke's curvature flow of networks,
which is a 1-parameter family of 1-dimensional
sets on a plane. We establish a local
epsilon-regularity theorem in the neighborhood
of triple junctions for the flow. Assuming that
any static tangent flow is a unit density line
or triple junction, we prove that the set of
singularity is a closed set of parabolic Hausdorff
dimension at most 1. Outside of the set of
singularity, the flow is consisted of smooth
curves joined by triple junctions with the angle
of 120 degrees, all moving smoothly. This is a
joint work with Neshan Wickramasekera.


関連項目

研究集会・セミナー・集中講義の一覧へ