Work

Motion of islands of elastic thin films in the dewetting regime

Year: 2025

Type: article

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 Jiang et al. (Scr Mater 115:123–127, 2016). Using the $$H^{-1}$$ 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.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-025-02972-0

Authors: Gianni Dal Maso, Irene Fonseca, Giovanni Leoni

Institutions: Scuola Internazionale Superiore di Studi Avanzati, Carnegie Mellon University

Language: English

Topic: Fluid Dynamics and Thin Films

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: National Science Foundation, Ministero dell'Università e della Ricerca