45 citations · 101 across the 25 of their papers we have counts for
4 papers · 1 filter
A Nash equilibrium macroscopic closure for kinetic models coupled with Mean-Field Games
Pierre Degond, Jian-Guo Liu, Christian Ringhofer
We introduce a new mean field kinetic model for systems of rational agents interacting in a game theoretical framework. This model is inspired from non-cooperative anonymous games…
A note on phase transitions for the Smoluchowski equation with dipolar potential
Pierre Degond, Amic Frouvelle, Jian-Guo Liu
In this note, we study the phase transitions arising in a modified Smoluchowski equation on the sphere with dipolar potential. This equation models the competition between alignmen…
Well-posedness for Hall-magnetohydrodynamics
Dongho Chae, Pierre Degond, Jian-Guo Liu
We prove local existence of smooth solutions for large data and global smooth solutions for small data to the incompressible, resitive, viscous or inviscid Hall-MHD model. We also…
Phase transition and diffusion among socially interacting self-propelled agents
Alethea B. T. Barbaro, Pierre Degond
We consider a hydrodynamic model of swarming behavior derived from the kinetic description of a particle system combining a noisy Cucker-Smale consensus force and self-propulsion.…