68 citations · 115 across the 12 of their papers we have counts for
3 papers · 1 filter
Swarming by curvature control in arbitrary dimension
Pierre Degond, Antoine Diez, Amic Frouvelle
We consider an interacting particle system proposed in the literature to model fish behavior. In this model, the agents move at constant speed and control the curvature of their tr…
Cauchy theory for general Vicsek models in collective dynamics and mean-field limit approximations
Marc Briant, Antoine Diez, Sara Merino-Aceituno
In this paper we provide a local Cauchy theory both on the torus and in the whole space for general Vicsek dynamics at the kinetic level. We consider rather general interaction ker…
Phase transitions and macroscopic limits in a BGK model of body-attitude coordination
Pierre Degond, Antoine Diez, Amic Frouvelle +1
In this article we investigate the phase transition phenomena that occur in a model of self-organisation through body-attitude coordination. Here, the body-attitude of an agent is…