• 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}
}
. 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

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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