Published June 15, 2022
| Submitted
Journal Article
Open
On the dynamics of formation of generic singularities of mean curvature flow
- Creators
- Gang, Zhou
Abstract
We study formation of generic singularities under mean curvature flow by combining the different approaches and results, namely the techniques used by the author and the collaborators, where we obtained detailed information when the initial hypersurfaces are close to cylinders, and these results by Colding and Minicozzi, which included all the generic blowups. Here we choose to study the cases where the rescaled flow converges to the cylinder S¹×R³, and we extend the region controlled by Colding and Minicozzi to find a finer description of a neighborhood of the singularity.
Additional Information
© 2022 Elsevier Inc. Received 26 July 2021, Accepted 7 February 2022, Available online 9 March 2022. Partly supported by NSF grant DMS-1308985 and DMS-1443225.Attached Files
Submitted - 1708.03484.pdf
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1708.03484.pdf
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Additional details
- Eprint ID
- 113814
- Resolver ID
- CaltechAUTHORS:20220309-982420000
- DMS-1308985
- NSF
- DMS-1443225
- NSF
- Created
-
2022-03-09Created from EPrint's datestamp field
- Updated
-
2022-03-28Created from EPrint's last_modified field