Nonlocal estimates for the Volume Preserving Mean Curvature Flow and applications
Differential Geometry
2022-07-05 v1
Abstract
We obtain estimates on nonlocal quantities appearing in the Volume Preserving Mean Curvature Flow (VPMCF) in the closed, Euclidean setting. As a result we demonstrate that blowups of finite time singularities of VPMCF are ancient solutions to Mean Curvature Flow (MCF), prove that monotonicity methods may always be applied at finite times and obtain information on the asymptotics of the flow.
Keywords
Cite
@article{arxiv.2207.01123,
title = {Nonlocal estimates for the Volume Preserving Mean Curvature Flow and applications},
author = {Ben Lambert and Elena Mäder-Baumdicker},
journal= {arXiv preprint arXiv:2207.01123},
year = {2022}
}
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