A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929399503257600 |
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| author | Julin, Vesa Morini, Massimiliano Oronzio, Francesca Spadaro, Emanuele |
| author_facet | Julin, Vesa Morini, Massimiliano Oronzio, Francesca Spadaro, Emanuele |
| contents | We study the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flow in three dimensional space. Motivated by this we establish a 3D sharp quantitative version of the Alexandrov inequality for $C^2$-regular sets with a perimeter bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17691 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D Julin, Vesa Morini, Massimiliano Oronzio, Francesca Spadaro, Emanuele Differential Geometry Analysis of PDEs We study the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flow in three dimensional space. Motivated by this we establish a 3D sharp quantitative version of the Alexandrov inequality for $C^2$-regular sets with a perimeter bound. |
| title | A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2406.17691 |