Year: 2024
Type: preprint
Abstract: In this paper the study of a non-local Cahn-Hilliard-type singularly perturbed family of functionals is undertaken, generalizing known results by Alberti & Bellettini. The kernels considered include those leading to Gagliardo seminorms for fractional Sobolev spaces. The limit energy is computed via $Γ$-convergence and shown to be an anisotropic surface energy on the interface between the two phases.
Source: arXiv (Cornell University)
Author: Caldwell, Wes
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404312267