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arXiv · 2502.13556

Consistency for the surface diffusion flat flow in three dimensions

Marco Cicalese·Nicola Fusco·Vesa Julin·Andrea Kubin
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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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Marco Cicalese, Nicola Fusco, Vesa Julin, Andrea Kubin. 2025-02-19. Consistency for the surface diffusion flat flow in three dimensions. https://arxiv.org/abs/2502.13556

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