278 citations · 3.1k across the 101 of their papers we have counts for
9 papers · 2 filters
Phase appearance or disappearance in two-phase flows
Floraine Cordier, Pierre Degond, Anela Kumbaro
This paper is devoted to the treatment of specific numerical problems which appear when phase appearance or disappearance occurs in models of two-phase flows. Such models have cruc…
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…
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…
An Asymptotic-Preserving all-speed scheme for the Euler and Navier-Stokes equations
Floraine Cordier, Pierre Degond, Anela Kumbaro
We present an Asymptotic-Preserving 'all-speed' scheme for the simulation of compressible flows valid at all Mach-numbers ranging from very small to order unity. The scheme is base…
Two-way multi-lane traffic model for pedestrians in corridors
Cécile Appert-Rolland, Pierre Degond, Sébastien Motsch
We extend the Aw-Rascle macroscopic model of car traffic into a two-way multi-lane model of pedestrian traffic. Within this model, we propose a technique for the handling of the co…