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Bibliographic Details
Main Authors: Maso, Gianni Dal, Fonseca, Irene, Leoni, Giovanni
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2412.10222
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Table of 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.