Preprint

Inserted: 19 feb 2025
Last Updated: 19 feb 2025

Year: 2025

Abstract:

We investigate the flat flow solution for the surface diffusion equation via the discrete minimizing movements scheme proposed by Cahn and Taylor. We prove that in dimension three the scheme converges to the unique smooth solution of the equation, provided that the initial set is sufficiently regular.

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• SurfaceDiffusion_Final.pdf