On variational scheme modeling the anisotropic surface diffusion with elasticity in the plane
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908410717405184 |
|---|---|
| author | Kubin, Andrea |
| author_facet | Kubin, Andrea |
| contents | In this paper, we prove the existence of classical solutions for the anisotropic surface diffusion with elasticity in the plane using a minimizing movements scheme, provided that the initial set is sufficiently regular. This scheme is inspired by the one introduced by Cahn-Taylor [15] to modeling the surface diffusion. Moreover, we prove that this scheme converges to the global solution of the equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14423 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On variational scheme modeling the anisotropic surface diffusion with elasticity in the plane Kubin, Andrea Analysis of PDEs In this paper, we prove the existence of classical solutions for the anisotropic surface diffusion with elasticity in the plane using a minimizing movements scheme, provided that the initial set is sufficiently regular. This scheme is inspired by the one introduced by Cahn-Taylor [15] to modeling the surface diffusion. Moreover, we prove that this scheme converges to the global solution of the equation. |
| title | On variational scheme modeling the anisotropic surface diffusion with elasticity in the plane |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.14423 |