316 citations · 2.6k across the 149 of their papers we have counts for
3 papers · 2 filters
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…
Gradient flows for non-smooth interaction potentials
José Antonio Carrillo, Stefano Lisini, Edoardo Mainini
We deal with a nonlocal interaction equation describing the evolution of a particle density under the effect of a general symmetric pairwise interaction potential, not necessarily…
A new interaction potential for swarming models
J. A. Carrillo, S. Martin, V. Panferov
We consider a self-propelled particle system which has been used to describe certain types of collective motion of animals, such as fish schools and bird flocks. Interactions betwe…