209 citations · 540 across the 19 of their papers we have counts for
3 papers · 1 filter
Macroscopic limits and phase transition in a system of self-propelled particles
Pierre Degond, Amic Frouvelle, Jian-Guo Liu
We investigate systems of self-propelled particles with alignment interaction. Compared to previous work, the force acting on the particles is not normalized and this modification…
Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system
Marion Arichetogaray, Pierre Degond, Amic Frouvelle +1
This paper deals with the derivation and analysis of the the Hall Magneto-Hydrodynamic equations. We first provide a derivation of this system from a two-fluids Euler-Maxwell syste…
Dynamics in a kinetic model of oriented particles with phase transition
Amic Frouvelle, Jian-Guo Liu
Motivated by a phenomenon of phase transition in a model of alignment of self-propelled particles, we obtain a kinetic mean-field equation which is nothing else than the Doi equati…