74 citations · 143 across the 12 of their papers we have counts for
4 papers · 1 filter
Gamma Convergence Approach For The Large Deviations Of The Density In Systems Of Interacting Diffusion Processes
Julien Barré, Cedric Bernardin, Raphaël Chétrite +2
We consider extended slow-fast systems of N interacting diffusions. The typical behavior of the empirical density is described by a nonlinear McKean-Vlasov equation depending on ,…
Modelling pattern formation through differential repulsion
J. Barré, P. Degond, D. Peurichard +1
Motivated by experiments on cell segregation, we present a two-species model of interacting particles, aiming at a quantitative description of this phenomenon. Under precise scalin…
Two-dimensional pseudo-gravity model
Julien Barré, Dan Crisan, Thierry Goudon
We analyze a simple macroscopic model describing the evolution of a cloud of particles confined in a magneto-optical trap. The behavior of the particles is mainly driven by self--c…
From Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck Systems to Incompressible Euler Equations: the case with finite charge
Julien Barré, David Chiron, Thierry Goudon +1
We study the asymptotic regime of strong electric fields that leads from the Vlasov-Poisson system to the Incompressible Euler equations. We also deal with the Vlasov-Poisson-Fokke…