126 citations · 134 across the 4 of their papers we have counts for
4 papers
Stability Analysis of Flock and Mill rings for 2nd Order Models in Swarming
G. Albi, D. Balagué, J. A. Carrillo +1
We study the linear stability of flock and mill ring solutions of two individual based models for biological swarming. The individuals interact via a nonlocal interaction potential…
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…
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…
Nonlocal interactions by repulsive-attractive potentials: radial ins/stability
D. Balague, J. A. Carrillo, T. Laurent +1
In this paper, we investigate nonlocal interaction equations with repulsive-attractive radial potentials. Such equations describe the evolution of a continuum density of particles…