# Swarm dynamics and equilibria for a nonlocal aggregation model

@article{Fetecau2011SwarmDA,
title={Swarm dynamics and equilibria for a nonlocal aggregation model},
author={R. Fetecau and Y. Huang and T. Kolokolnikov},
journal={Nonlinearity},
year={2011},
volume={24},
pages={2681-2716}
}
• Published 2011
• Mathematics
• Nonlinearity
We consider the aggregation equation ρt −∇ ·(ρ∇K ∗ ρ) = 0i nR n , where the interaction potential K models short-range repulsion and long-range attraction. We study a family of interaction potentials for which the equilibria are of finite density and compact support. We show global well-posedness of solutions and investigate analytically and numerically the equilibria and their global stability. In particular, we consider a potential for which the corresponding equilibrium solutions are of… Expand
135 Citations

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