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Stability of neckpinch singularities
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Schulze, Felix and Sesum, Natasa (2020) Stability of neckpinch singularities. (Submitted)
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Abstract
In this paper, we study the stability of neckpinch singularities. We show that if a mean curvature flow {Mt} develops only finitely many neckpinch singularities at the first singular time, then the mean curvature flow starting at any sufficiently small perturbation of M0 can also develop only neckpinch type singularities at the first singular time. We also show stability of nondegenerate neckpinch singularities in the above sense, which speaks in favor of stability of Type I singularities.
| Item Type: | Submitted Journal Article | ||||||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Curves, Curvature | ||||||||||||
| Official Date: | 2020 | ||||||||||||
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| Institution: | University of Warwick | ||||||||||||
| Status: | Not Peer Reviewed | ||||||||||||
| Publication Status: | Submitted | ||||||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||
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