149 citations · 316 across the 36 of their papers we have counts for
4 papers · 1 filter
Discretizing advection equations with rough velocity fields on non-cartesian grids
Pierre-Emmanuel Jabin, Datong Zhou
We investigate the properties of discretizations of advection equations on non-cartesian grids and graphs in general. Advection equations discretized on non-cartesian grids have re…
Collective motion driven by nutrient consumption
Pierre-Emmanuel Jabin, Benoît Perthame
A classical problem describing the collective motion of cells, is the movement driven by consumption/depletion of a nutrient. Here we analyze one of the simplest such model written…
From interacting agents to Boltzmann-Gibbs distribution of money
Fei Cao, Pierre-Emmanuel Jabin
We investigate the unbiased model for money exchanges: agents give at random time a dollar to one another (if they have one). Surprisingly, this dynamics eventually leads to a geom…
A new approach to the mean-field limit of Vlasov-Fokker-Planck equations
Didier Bresch, Pierre-Emmanuel Jabin, Juan Soler
This article introduces a novel approach to the mean-field limit of stochastic systems of interacting particles, leading to the first ever derivation of the mean-field limit to the…