209 citations · 540 across the 19 of their papers we have counts for
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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.AP2013★ 72 cited
Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics
Pierre Degond, Amic Frouvelle, Jian-Guo Liu
We provide a complete and rigorous description of phase transitions for kinetic models of self-propelled particles interacting through alignment. These models exhibit a competition…