| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8256518 | Physica D: Nonlinear Phenomena | 2013 | 16 Pages |
Abstract
⺠We study finite-size and compactly-supported swarm equilibria in multiple dimensions. ⺠Social interactions consider Newtonian repulsion and power-law attraction between individuals. ⺠Equilibria are shown to be radially symmetric and monotone in the radial coordinate. ⺠Asymptotic results are derived in various regimes of the exponent in the power-law attraction.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
R.C. Fetecau, Y. Huang,