209 citations · 540 across the 19 of their papers we have counts for
10 papers · 1 filter
Macroscopic limit of a Fokker-Planck model of swarming rigid bodies
Pierre Degond, Amic Frouvelle
We consider self-propelled rigid-bodies interacting through local body-attitude alignment modelled by stochastic differential equations. We derive a hydrodynamic model of this syst…
Body-attitude coordination in arbitrary dimension
Pierre Degond, Antoine Diez, Amic Frouvelle
We consider a system of self-propelled agents interacting through body attitude coordination in arbitrary dimension . We derive the formal kinetic and hydrodynamic limits…
From kinetic to fluid models of liquid crystals by the moment method
Pierre Degond, Amic Frouvelle, Jian-Guo Liu
This paper deals with the convergence of the Doi-Navier-Stokes model of liquid crystals to the Ericksen-Leslie model in the limit of the Deborah number tending to zero. While the l…
Quaternions in collective dynamics
Pierre Degond, Amic Frouvelle, Sara Merino-Aceituno +1
We introduce a model of multi-agent dynamics for self-organised motion; individuals travel at a constant speed while trying to adopt the averaged body attitude of their neighbours.…
A new flocking model through body attitude coordination
Pierre Degond, Amic Frouvelle, Sara Merino-Aceituno
We present a new model for multi-agent dynamics where each agent is described by its position and body attitude: agents travel at a constant speed in a given direction and their bo…
Macroscopic models of collective motion and self-organization
Pierre Degond, Amic Frouvelle, Jian-Guo Liu +2
In this paper, we review recent developments on the derivation and properties of macroscopic models of collective motion and self-organization. The starting point is a model of sel…