English

Phase-field approximation of an epitaxial growth model with adatoms

Analysis of PDEs 2025-06-11 v3

Abstract

We perform a mass constrained phase-field approximation for a model that describes the epitaxial growth of a two-dimensional thin film on a substrate in the context of linearised elasticity. The approximated model encodes a variable on the free surface of the film, that physically is interpreted as an adatom density.

Keywords

Cite

@article{arxiv.2411.18491,
  title  = {Phase-field approximation of an epitaxial growth model with adatoms},
  author = {Gabriele Fissore},
  journal= {arXiv preprint arXiv:2411.18491},
  year   = {2025}
}