Stability and convergence for the length-penalized elastic flow of curves with partial free boundary
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908461664567296 |
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| author | Diana, Antonia |
| author_facet | Diana, Antonia |
| contents | We investigate the asymptotic stability of the length-penalized elastic flow of curves with boundary points constrained to the $x$-axis in $\mathbb{R}^2$. The main tool in our analysis is the Lojasiewicz--Simon inequality, which is used to prove that the flow smoothly converges to an elastica. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09449 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability and convergence for the length-penalized elastic flow of curves with partial free boundary Diana, Antonia Analysis of PDEs Primary $53E40$, $35G31$, $35A01$ We investigate the asymptotic stability of the length-penalized elastic flow of curves with boundary points constrained to the $x$-axis in $\mathbb{R}^2$. The main tool in our analysis is the Lojasiewicz--Simon inequality, which is used to prove that the flow smoothly converges to an elastica. |
| title | Stability and convergence for the length-penalized elastic flow of curves with partial free boundary |
| topic | Analysis of PDEs Primary $53E40$, $35G31$, $35A01$ |
| url | https://arxiv.org/abs/2505.09449 |