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Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus (2305.11100v2)
Published 18 May 2023 in math.DG
Abstract: 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.
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