Asymptotic behavior of a diffused interface volume-preserving mean curvature flow
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929438630871040 |
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| author | Bonforte, Matteo Maggi, Francesco Restrepo, Daniel |
| author_facet | Bonforte, Matteo Maggi, Francesco Restrepo, Daniel |
| contents | We consider a diffused interface version of the volume-preserving mean curvature flow in the Euclidean space, and prove, in every dimension and under natural assumptions on the initial datum, exponential convergence towards single "diffused balls". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18868 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotic behavior of a diffused interface volume-preserving mean curvature flow Bonforte, Matteo Maggi, Francesco Restrepo, Daniel Analysis of PDEs Differential Geometry Optimization and Control We consider a diffused interface version of the volume-preserving mean curvature flow in the Euclidean space, and prove, in every dimension and under natural assumptions on the initial datum, exponential convergence towards single "diffused balls". |
| title | Asymptotic behavior of a diffused interface volume-preserving mean curvature flow |
| topic | Analysis of PDEs Differential Geometry Optimization and Control |
| url | https://arxiv.org/abs/2407.18868 |