Work

Formation of multiple flocks in a simple nonlocal aggregation model

Year: 2025

Type: article

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 show that the energy is minimized by a sequence of indicators of finitely many balls whose supports become infinitely far apart from one another. The dichotomy case of the concentration compactness principle is a key ingredient in our proof.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-025-03047-w

Author: Carrie Clark

Institution: University of Illinois Urbana-Champaign

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Natural Sciences and Engineering Research Council of Canada