On a non-local transport equation with competing attraction and Newtonian repulsion
We study the aggregation equation $\rho_t + \nabla \cdot (\rho (-\nabla K \ast \rho)) = 0$ in $\Real^n$, a first-order nonlinear and non-local transport equation used to model swarming behaviour. The radial interaction potential is chosen $K$ to model both short-range repulsion and long-range attrac...
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| Format: | Others |
| Language: | en |
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McGill University
2013
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| Online Access: | http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=119401 |