Motion of Elastic Thin Films by Evaporation-Condensation in the Dewetting Regime

2025/08/11 by M. S. Indulekha, Indulekha, M. S.
Earth and Planetary Sciences · Engineering · #35B65 #35J25 #35K25 #74K35 #Adhesion, Friction, and Surface Interactions #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Thin Films #nanoparticles nucleation surface interactions

paper · pdf · doi:10.48550/arxiv.2508.07562

openalex publication_date 2025/08/11 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28

Abstract

In this work, we show the short-time existence of solutions of the evolution equations that represent the solid state dewetting of thin films through evaporation-condensation as a two dimensional sharp interface variational model. The evolution law is established as the L² gradient flow of surface energies in the presence of epitaxial strain. The main novelty is the presence of moving contact lines when the film formation is governed by the evaporation-condensation method.

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