偏微分方程式セミナー: The existence of the weak solution for mean curvature flow with transport term

2013年 　 6月 24日 16時 30分 ～ 2013年 　 6月 24日 17時 30分

In this talk we consider the mean curvature flow with
transport term. In 1978, Brakke proved the existence
of weak solutions defined by using geometric measure
theory, for the mean curvature flow. The weak
solution is called Brakke's mean curvature flow. In
2010, Liu, Sato and Tonegawa proved that there
exists Brakke's mean curvature flow with transport
term for \$n=2,3. We extended the existence theorem
for any dimension.
This talk is a joint work with Yoshihiro Tonegawa.