Motion of Islands of Elastic Thin Films in the Dewetting Regime

Gianni Dal Maso; Irene Fonseca; Giovanni Leoni

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arXiv · 2412.10222

Motion of Islands of Elastic Thin Films in the Dewetting Regime

Gianni Dal Maso·Irene Fonseca·Giovanni Leoni

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Abstract

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.

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Gianni Dal Maso, Irene Fonseca, Giovanni Leoni. 2024-12-13. Motion of Islands of Elastic Thin Films in the Dewetting Regime. https://arxiv.org/abs/2412.10222

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