Motion of Elastic Thin Films by Evaporation-Condensation in the Dewetting Regime
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 $L^{2}$ L 2 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.
Authors
- M. S. Indulekha
Publication Details
- Journal
- Acta Applicandae Mathematicae
- Published
- 2026-09-01
- DOI
- https://doi.org/10.1007/s10440-026-00807-4
- Primary Topic
- Fluid Dynamics and Thin Films
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Simons Foundation
- Carnegie Mellon University
- Mellon College of Science, Carnegie Mellon University