# Confinement for repulsive-attractive kernels

@article{Balague2012ConfinementFR, title={Confinement for repulsive-attractive kernels}, author={D. Balagu'e and J. Carrillo and Y. Yao}, journal={Discrete and Continuous Dynamical Systems-series B}, year={2012}, volume={19}, pages={1227-1248} }

We investigate the confinement properties of solutions of the
aggregation equation with repulsive-attractive potentials. We show
that solutions remain compactly supported in a large fixed ball
depending on the initial data and the potential. The arguments
apply to the functional setting of probability measures with
mildly singular repulsive-attractive potentials and to the
functional setting of smooth solutions with a potential being the
sum of the Newtonian repulsion at the origin and a… Expand

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