Motion of Islands of Elastic Thin Films in the Dewetting Regime
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929628968386560 |
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| author | Maso, Gianni Dal Fonseca, Irene Leoni, Giovanni |
| author_facet | Maso, Gianni Dal Fonseca, Irene Leoni, Giovanni |
| contents | This paper addresses a two-dimensional sharp interface variational model for solid-state dewetting of thin films with surface energies, introduced by Wang, Jiang, Bao, and Srolovitz in \cite{jiang2016solid}. Using the $H^{-1}$-gradient flow structure of the evolution law, short-time existence for a surface diffusion evolution equation with curvature regularization is established in the context of epitaxially strained two-dimensional films. The main novelty, as compared to the study of the wetting regime, is the presence of moving contact lines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10222 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Motion of Islands of Elastic Thin Films in the Dewetting Regime Maso, Gianni Dal Fonseca, Irene Leoni, Giovanni Analysis of PDEs 35K25 This paper addresses a two-dimensional sharp interface variational model for solid-state dewetting of thin films with surface energies, introduced by Wang, Jiang, Bao, and Srolovitz in \cite{jiang2016solid}. Using the $H^{-1}$-gradient flow structure of the evolution law, short-time existence for a surface diffusion evolution equation with curvature regularization is established in the context of epitaxially strained two-dimensional films. The main novelty, as compared to the study of the wetting regime, is the presence of moving contact lines. |
| title | Motion of Islands of Elastic Thin Films in the Dewetting Regime |
| topic | Analysis of PDEs 35K25 |
| url | https://arxiv.org/abs/2412.10222 |