74 citations · 143 across the 12 of their papers we have counts for
Showing 2019Show all
2 papers · 1 filter
math.AP2019★ 3 cited
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 ,…
math.AP2019
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…