Consistency for the surface diffusion flat flow in three dimensions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866915160880316416 |
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| author | Cicalese, Marco Fusco, Nicola Julin, Vesa Kubin, Andrea |
| author_facet | Cicalese, Marco Fusco, Nicola Julin, Vesa Kubin, Andrea |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13556 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Consistency for the surface diffusion flat flow in three dimensions Cicalese, Marco Fusco, Nicola Julin, Vesa Kubin, Andrea Analysis of PDEs 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. |
| title | Consistency for the surface diffusion flat flow in three dimensions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.13556 |