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math.AP2015★ 7 cited
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…
math.AP2012★ 53 cited
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…