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math.AP2012★ 126 cited
Dimensionality of Local Minimizers of the Interaction Energy
D. Balagué, J. A. Carrillo, T. Laurent +1
In this work we consider local minimizers (in the topology of transport distances) of the interaction energy associated to a repulsive-attractive potential. We show how the imensio…
math.AP2012
Confinement for Repulsive-Attractive Kernels
D. Balagué, J. A. Carrillo, Y. Yao
We investigate the confinement properties of solutions of the aggregation equation with repulsive-attractive potentials. We show that solutions remain compactly supported in a larg…