非线性分析研讨班：Mean curvature flow coming out of cones

中科院数学与系统科学研究院

数学研究所

学术报告

非线性分析研讨班

报告人：Letian Chen (Johns Hopkins University)

题  目：Mean curvature flow coming out of cones

时  间：2023.04.06（星期四）9:00-10:00

地  点：Zoom: 618 6346 6832 Passcode: 682386

摘  要：We study mean curvature flows (MCFs) coming out of cones. As cones are singular at the origin, the evolution is generally not unique. A special case of such flows is known as the self-expanders. We will construct many non-self-similar MCFs coming out of a given cone provided there are more than one (smooth) self-expanders asymptotic to the cone. We then discuss a classification problem of such flows. In particular, we show that, in low dimensions, and when the cones are not too complex, the above solutions are all one gets.