Universality in mean curvature flow neckpinches
Differential Geometry
2015-11-04 v2 Analysis of PDEs
Abstract
We study noncompact surfaces evolving by mean curvature flow. Without any symmetry assumptions, we prove that any solution that is -close at some time to a standard neck will develop a neckpinch singularity in finite time, will become asymptotically rotationally symmetric in a space-time neighborhood of its singular set, and will have a unique tangent flow.
Keywords
Cite
@article{arxiv.1308.5600,
title = {Universality in mean curvature flow neckpinches},
author = {Zhou Gang and Dan Knopf},
journal= {arXiv preprint arXiv:1308.5600},
year = {2015}
}
Comments
More references added, typos corrected