A variational approach to the volume-preserving anisotropic mean curvature flow in 2D
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916882058051584 |
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| author | Kubin, Andrea La Manna, Domenico Angelo Pasqualetto, Enrico |
| author_facet | Kubin, Andrea La Manna, Domenico Angelo Pasqualetto, Enrico |
| contents | In this article, we introduce a variational algorithm, in the spirit of the minimizing movements scheme, to model the volume-preserving anisotropic mean curvature flow in 2D. We show that this algorithm can be used to prove the existence of classical solutions. Moreover, we prove that this algorithm converges to the global solution of the equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03134 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A variational approach to the volume-preserving anisotropic mean curvature flow in 2D Kubin, Andrea La Manna, Domenico Angelo Pasqualetto, Enrico Analysis of PDEs 53E10, 53E40, 49Q20, 37E35 In this article, we introduce a variational algorithm, in the spirit of the minimizing movements scheme, to model the volume-preserving anisotropic mean curvature flow in 2D. We show that this algorithm can be used to prove the existence of classical solutions. Moreover, we prove that this algorithm converges to the global solution of the equation. |
| title | A variational approach to the volume-preserving anisotropic mean curvature flow in 2D |
| topic | Analysis of PDEs 53E10, 53E40, 49Q20, 37E35 |
| url | https://arxiv.org/abs/2508.03134 |