3 papers
math.AP2025
Geometrically constrained walls in three dimensions
Riccardo Cristoferi, Gabriele Fissore, Marco Morandotti
We study geometrically constrained magnetic walls in a three dimensional geometry where two bulks are connected by a thin neck. Without imposing any symmetry assumption on the doma…
math.AP2025
Phase-field approximation of an epitaxial growth model with adatoms
Gabriele Fissore
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 e…
math.AP2024
Two dimensional graph model for epitaxial crystal growth with adatoms
Riccardo Cristoferi, Gabriele Fissore
We consider a model to describe stable configurations in epitaxial growth of crystals in the two dimensional case, and in the regime of linearized elasticity. The novelty is that t…