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arXiv · 2204.04923

Stability of the ball under volume preserving fractional mean curvature flow

Annalisa Cesaroni·Matteo Novaga
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Abstract

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.

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Annalisa Cesaroni, Matteo Novaga. 2022-04-11. Stability of the ball under volume preserving fractional mean curvature flow. https://arxiv.org/abs/2204.04923

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