Neck Pinching Dynamics Under Mean Curvature Flow
Analysis of PDEs
2007-08-23 v1 Differential Geometry
Abstract
In this paper we study motion of surfaces of revolution under the mean curvature flow. For an open set of initial conditions close to cylindrical surfaces we show that the solution forms a "neck" which pinches in a finite time at a single point. We also obtain a detailed description of the neck pinching process.
Keywords
Cite
@article{arxiv.0708.2938,
title = {Neck Pinching Dynamics Under Mean Curvature Flow},
author = {Zhou Gang and Israel Michael Sigal},
journal= {arXiv preprint arXiv:0708.2938},
year = {2007}
}
Comments
38 Pages