52 citations · 166 across the 20 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2014
A two-species hydrodynamic model of particles interacting through self-alignment
Laurent Navoret
In this paper, we present a two-species Vicsek model, that describes alignment interactions of self-propelled particles which can either move or not. The model consists in two popu…
math-ph2013
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…
math-ph2009★ 26 cited
Congestion in a macroscopic model of self-driven particles modeling gregariousness
Pierre Degond, Laurent Navoret, Richard Bon +1
We analyze a macroscopic model with a maximal density constraint which describes short range repulsion in biological systems. This system aims at modeling finite-size particles whi…