Mass splitting in the Thomas-Fermi-Dirac-von Weizs\"acker model with background potential
Analysis of PDEs
2020-01-15 v2
Abstract
We consider minimization problems of the Thomas-Fermi-Dirac-von Weizs\"{a}cker (TFDW) type, in which the Newtonian potential is perturbed by a background potential satisfying mild conditions and which ensures the existence of minimizers. We describe the structure of minimizing sequences for those variants, and obtain a more precise characterization of patterns in minimizing sequences for the TFDW functionals regularized by long-range perturbations.
Cite
@article{arxiv.1910.02104,
title = {Mass splitting in the Thomas-Fermi-Dirac-von Weizs\"acker model with background potential},
author = {Lorena Aguirre Salazar and Stan Alama and Lia Bronsard},
journal= {arXiv preprint arXiv:1910.02104},
year = {2020}
}