Formation of multiple flocks in a simple nonlocal aggregation model
Analysis of PDEs
2024-03-11 v2 Classical Analysis and ODEs
Functional Analysis
Abstract
We consider a family of interaction energies given by kernels having a ''well-barrier'' shape, and investigate how these kernels drive the formation of multiple flocks within a larger population. We use the dichotomy case of the concentration compactness principle to obtain an energy minimizer, even though minimizing sequences are expected to break apart into flocks which may move far away from one another.
Keywords
Cite
@article{arxiv.2110.08660,
title = {Formation of multiple flocks in a simple nonlocal aggregation model},
author = {Carrie Clark},
journal= {arXiv preprint arXiv:2110.08660},
year = {2024}
}