Published September 15, 2015
| Version Submitted
Journal Article
Open
Universality in mean curvature flow neckpinches
Creators
Abstract
We study noncompact surfaces evolving by mean curvature flow. Without any symmetry assumptions, we prove that any solution that is C^3-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.
Additional Information
© 2015 Duke University Press. Received 18 November 2013. Revision received 21 October 2014. The authors are deeply grateful to I. M. Sigal for many helpful discussions related to extensions of their work in [13]. Gang's work was partially supported by National Science Foundation grant DMS-1308985, and Knopf's work was partially supported by National Science Foundation grant DMS-1205270.Attached Files
Submitted - 1308.5600v2.pdf
Files
1308.5600v2.pdf
Additional details
Identifiers
- Eprint ID
- 61487
- DOI
- 10.1215/00127094-3146175
- Resolver ID
- CaltechAUTHORS:20151023-111731559
Related works
- Describes
- http://arxiv.org/abs/1308.5600 (URL)
Funding
- NSF
- DMS-1308985
- NSF
- DMS-1205270
Dates
- Created
-
2015-10-26Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field