Two dimensional anisotropic mean curvature flow with contact angle condition
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917042126323712 |
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| author | Cui, Can Yip, Nung Kwan |
| author_facet | Cui, Can Yip, Nung Kwan |
| contents | In this paper, we study surfaces which evolve by anisotropic mean curvature flow with contact angle boundary condition over a strictly convex domain in $\mathbb{R}^2$. We establish a prior gradient estimate for smooth solutions to this boundary value problem. The same approach can also handle Dirichlet boundary condition in $\mathbb{R}^n$, $n\geq 2$. For both problems, we prove that the solutions converge to one that is translation invariant in time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22136 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two dimensional anisotropic mean curvature flow with contact angle condition Cui, Can Yip, Nung Kwan Analysis of PDEs In this paper, we study surfaces which evolve by anisotropic mean curvature flow with contact angle boundary condition over a strictly convex domain in $\mathbb{R}^2$. We establish a prior gradient estimate for smooth solutions to this boundary value problem. The same approach can also handle Dirichlet boundary condition in $\mathbb{R}^n$, $n\geq 2$. For both problems, we prove that the solutions converge to one that is translation invariant in time. |
| title | Two dimensional anisotropic mean curvature flow with contact angle condition |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.22136 |