209 citations · 1.4k across the 114 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…
General Solution to Gradient Induced Transverse and Longitudinal Relaxation of Spins Undergoing Restricted Diffusion
W. Zheng, H. Gao, J. -G. Liu +3
We develop an approach, by calculating the autocorrelation function of spins, to derive the magnetic field gradient induced transverse () relaxation of spins undergoing restri…