209 citations · 1.4k across the 114 of their papers we have counts for
5 papers · 1 filter
Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria
Pierre Degond, Jian-Guo Liu, Christian Ringhofer
We present and analyze a model for the evolution of the wealth distribution within a heterogeneous economic environment. The model considers a system of rational agents interacting…
Flow on sweeping networks
Pierre Degond, Michael Herty, Jian-Guo Liu
We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching pro…
A note on Aubin-Lions-Dubinskii lemmas
Xiuqing Chen, Ansgar Jüngel, Jian-Guo Liu
Strong compactness results for families of functions in seminormed nonnegative cones in the spirit of the Aubin-Lions-Dubinski\uı lemma are proven, refining some recent results in…
Macroscopic models of collective motion and self-organization
Pierre Degond, Amic Frouvelle, Jian-Guo Liu +2
In this paper, we review recent developments on the derivation and properties of macroscopic models of collective motion and self-organization. The starting point is a model of sel…
Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics
Pierre Degond, Amic Frouvelle, Jian-Guo Liu
We provide a complete and rigorous description of phase transitions for kinetic models of self-propelled particles interacting through alignment. These models exhibit a competition…