45 citations · 71 across the 6 of their papers we have counts for
6 papers
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.…
French Roadmap for complex Systems 2008-2009
Paul Bourgine, David Chavalarias, Edith Perrier +78
This second issue of the French Complex Systems Roadmap is the outcome of the Entretiens de Cargese 2008, an interdisciplinary brainstorming session organized over one week in 2008…
The Vlasov model under large magnetic fields in the low-Mach number regime
Pierre Degond, Sever Hirstoaga, Marie-Hélène Vignal
This article is concerned with the kinetic modeling, by means of the Vlasov equation, of charged particles under the influence of a strong external electromagnetic field, i.e. when…