• Corpus ID: 248085208

Stability of the ball under volume preserving fractional mean curvature flow

@inproceedings{Cesaroni2022StabilityOT,
title={Stability of the ball under volume preserving fractional mean curvature flow},
author={Annalisa Cesaroni and Matteo Novaga},
year={2022}
}
• Published 11 April 2022
• Mathematics
. We consider the volume constrained fractional mean curvature ﬂow of a nearly spherical set, and prove long time existence and asymptotic convergence to a ball. The result applies in particular to convex initial data, under the assumption of global existence. Similarly, we show exponential convergence to a constant for the fractional mean curvature ﬂow of a periodic graph.
1 Citations

Asymptotic of the Discrete Volume-Preserving Fractional Mean Curvature Flow via a Nonlocal Quantitative Alexandrov Theorem

• Mathematics
• 2022
We characterize the long time behaviour of a discrete-in-time approximation of the volume preserving fractional mean curvature ﬂow. In particular, we prove that the discrete ﬂow starting from any

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