209 citations · 1.4k across the 114 of their papers we have counts for
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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…
Hydrodynamic models of self-organized dynamics: derivation and existence theory
Pierre Degond, Jian-Guo Liu, Sébastien Motsch +1
This paper is concerned with the derivation and analysis of hydrodynamic models for systems of self-propelled particles subject to alignment interaction and attraction-repulsion. T…
Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation
Pierre Degond, Jian-Guo Liu
We consider a kinetic model of self-propelled particles with alignment interaction and with precession about the alignment direction. We derive a hydrodynamic system for the local…
Blow-up, zero limit and the Liouville type theorem for the Euler-Poincaré equations
Dongho Chae, Jian-Guo Liu
In this paper we study the Euler-Poincaré equations in . We prove local existence of weak solutions in , and local existence of unique classical…
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…