Two dimensional graph model for epitaxial crystal growth with adatoms

R Cristoferi, G Fissore - arXiv preprint arXiv:2402.08447, 2024 - arxiv.org
We consider a model to describe stable configurations in epitaxial growth of crystals in the
two dimensional case, and in the regime of linear elasticity. The novelty is that the model …

Phase-field approximation of an epitaxial growth model with adatoms

G Fissore - arXiv preprint arXiv:2411.18491, 2024 - arxiv.org
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 …

[HTML][HTML] On the Gamma convergence of functionals defined over pairs of measures and energy-measures

M Caroccia, R Cristoferi - Journal of Nonlinear Science, 2020 - Springer
A novel general framework for the study of\(\Gamma\)-convergence of functionals defined
over pairs of measures and energy-measures is introduced. This theory allows us to identify …

Surface evolution of elastically stressed films

I Fonseca, G Leoni - European Mathematical Society Magazine, 2021 - ems.press
Surface evolution of elastically stressed films Page 1 Surface evolution of elastically stressed
films Irene Fonseca and Giovanni Leoni An overview of recent analytical developments in the …