146 citations · 302 across the 8 of their papers we have counts for
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A local version of the Hughes model for pedestrian flow
José A. Carrillo, Stephan Martin, Marie-Therese Wolfram
Roger Hughes proposed a macroscopic model for pedestrian dynamics, in which individuals seek to minimize their travel time but try to avoid regions of high density. One of the basi…
Explicit Flock Solutions for Quasi-Morse potentials
Jose Antonio Carrillo, Yanghong Huang, Stephan Martin
We consider interacting particle systems and their mean-field limits, which are frequently used to model collective aggregation and are known to demonstrate a rich variety of patte…
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…