Preprint

Inserted: 28 nov 2024
Last Updated: 28 nov 2024

Year: 2024

Abstract:

We perform a phase-field approximation for a model that describes the epitaxial growth of a thin film on a substrate in the context of linearized elasticity. The approximated model encodes a variable on the free surface of the film, that physically is interpreted with an adatom density. This collocates the model in the context of the crystal growth, beside being a mass constrained Γ-convergence result.