An Ohta-Kawasaki Model set on the space
Analysis of PDEs
2024-01-09 v1
Abstract
We examine a non-local diffuse interface energy with Coulomb repulsion in three dimensions inspired by the Thomas-Fermi-Dirac-von Weizs\"{a}cker, and the Ohta-Kawasaki models. We consider the corresponding mass-constrained variational problem and show the existence of minimizers for small masses, and the absence of minimizers for large masses.
Keywords
Cite
@article{arxiv.2401.03120,
title = {An Ohta-Kawasaki Model set on the space},
author = {Lorena Aguirre Salazar and Xin Yang Lu and Jun-cheng Wei},
journal= {arXiv preprint arXiv:2401.03120},
year = {2024}
}