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Bibliographic Details
Main Authors: De Gennaro, Daniele, Diana, Antonia, Kubin, Andrea, Kubin, Anna
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2305.11100
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Table of Contents:
  • We prove that, in the flat torus and in any dimension, the volume-preserving mean curvature flow and the surface diffusion flow, starting $C^{1,1}-$close to a strictly stable critical set of the perimeter $E$, exist for all times and converge to a translate of $E$ exponentially fast as time goes to infinity.