PreprintarXiv licencearXiv
Instability of mean curvature flow in expander coordinates
Abstract
We study rotationally symmetric graphical solutions to mean curvature flow that are initially close to a homothetic reference expander, in particular near infinity. Based on a computer algebra aided proof, we show that under appropriate conditions, at large times, the solutions are closer to a different expander than to the reference expander.
Related
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- The mean curvature blows up at nondegenerate neck pinch singularities of Lagrangian mean curvature flow
- Singularities of Mean Curvature Flow with Bounded Total Curvature
- On knotted self expanders of the mean curvature flow in R3
- Existence of Lagrangian Mean Curvature Flow Singularities with Bounded Mean Curvature
BibTeX
@misc{lambert2026instability,
title = {{Instability of mean curvature flow in expander coordinates}},
author = {Ben S. Lambert and Oliver C. Schnürer},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.32819},
eprint = {2610.32819},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.32819},
}
RIS
TY - UNPB
TI - Instability of mean curvature flow in expander coordinates
AU - Ben S. Lambert
AU - Oliver C. Schnürer
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.32819
UR - https://arxiv.org/abs/2610.32819
AB - We study rotationally symmetric graphical solutions to mean curvature flow that are initially close to a homothetic reference expander, in particular near infinity. Based on a computer algebra aided proof, we show that under appropriate conditions, at large times, the solutions are closer to a different expander than to the reference expander.
ER -