On the avoidance principle for codimension 1 space-time Brakke flows
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915484164685824 |
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| author | Sagueni, Abdelmouksit |
| author_facet | Sagueni, Abdelmouksit |
| contents | We prove that the spacetime Brakke flow constructed by Buet et al. is non-trivial as long as the initial varifold is a union of boundaries of domains of finite perimeter. In the codimension 1 setting, we show that, starting from a smooth boundary, the support of the mass measure of the spacetime Brakke flow coincides with the support of the classical mean curvature flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06441 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the avoidance principle for codimension 1 space-time Brakke flows Sagueni, Abdelmouksit Differential Geometry We prove that the spacetime Brakke flow constructed by Buet et al. is non-trivial as long as the initial varifold is a union of boundaries of domains of finite perimeter. In the codimension 1 setting, we show that, starting from a smooth boundary, the support of the mass measure of the spacetime Brakke flow coincides with the support of the classical mean curvature flow. |
| title | On the avoidance principle for codimension 1 space-time Brakke flows |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2509.06441 |