4 citations · 5 across the 8 of their papers we have counts for
13 papers · 1 filter
Derivation of 2D Vlasov-Poisson for classical particles with Coulomb interactions
Mitia Duerinckx, Pierre-Emmanuel Jabin
We obtain the first derivation of the 2D Vlasov-Poisson equation for classical particles with Coulomb interactions without any microscopic cutoff. The proof relies on our recent du…
Singular mean-field limits for fluctuations around equilibrium
Mitia Duerinckx, Pierre-Emmanuel Jabin
This work addresses the mean-field limit of inertial particle systems with singular interactions in a perturbative regime around Gibbs equilibrium. We prove that small fluctuations…
Quantitative Estimates for Mean-Field Limits and Correlation Functions through a Duality Framework
Nadia Khoury, Pierre-Emmanuel Jabin
We investigate the mean-field limit for interacting particle systems through a duality-based framework and obtain quantitative estimates on the convergence of marginals as well as…
Correlation estimates for Brownian particles with singular interactions
Mitia Duerinckx, Pierre-Emmanuel Jabin
We study particle systems with singular pairwise interactions and non-vanishing diffusion in the mean-field scaling. A classical approach to describing corrections to mean-field be…
Multiscale Analysis of a Kinetic Model of Confined Suspensions of Self-Propelled Rods
Leonid Berlyand, Spencer Dang, Pierre-Emmanuel Jabin +1
The behavior of active matter under confinement poses significant challenges due to the intricate coupling between dynamics near boundaries and those in the bulk. A defining featur…
Singular flows with time-varying weights
Immanuel Ben Porat, José A. Carrillo, Pierre-Emmanuel Jabin
We study the mean field limit for singular dynamics with time evolving weights. Our results are an extension of the work of Serfaty \cite{duerinckx2020mean} and Bresch-Jabin-Wang \…