5 citations · 14 across the 14 of their papers we have counts for
15 papers
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 \…
Longtime and chaotic dynamics in microscopic systems with singular interactions
Alexis Béjar-López, Alain Blaustein, Pierre-Emmanuel Jabin +1
This paper investigates the long time dynamics of interacting particle systems subject to singular interactions. We consider a microscopic system of interacting point particles…
Fitting parameters of a Fokker-Planck-like equation with constraint
Kevin Atsou, Thierry Goudon, Pierre-Emmanuel Jabin
We analyse a Fokker-Planck like equation, driven by a scalar parameter in order to reach an integral constraint. We exhibit criteria guaranteeing existence-uniqueness of a solution…
Relative Entropy Method for Particle Approximation of the Landau Equation for Maxwellian Molecules
José Antonio Carrillo, Xuanrui Feng, Shuchen Guo +2
We derive the spatially homogeneous Landau equation for Maxwellian molecules from a natural stochastic interacting particle system. More precisely, we control the relative entropy…
Dense networks of integrate-and-fire neurons: Spatially-extended mean-field limit of the empirical measure
Pierre-Emmanuel Jabin, Valentin Schmutz, Datong Zhou
The dynamics of spatially-structured networks of interacting stochastic neurons can be described by deterministic population equations in the mean-field limit. While this is kn…
Mean-field derivation of Landau-like equations
José Antonio Carrillo, Shuchen Guo, Pierre-Emmanuel Jabin
We derive a class of space homogeneous Landau-like equations from stochastic interacting particles. Through the use of relative entropy, we obtain quantitative bounds on the distan…
Dynamics of point-vortex type systems near thermal equilibrium: relaxation or not?
Mitia Duerinckx, Pierre-Emmanuel Jabin
This article is devoted to the long-time dynamics of point-vortex type systems near thermal equilibrium and to the possible emergence of collisional relaxation. More precisely, we…
The graph limit for a pairwise competition model
Immanuel Ben Porat, José A. Carrillo, Pierre-Emmanuel Jabin
This paper is aimed at extending the graph limit with time dependent weights obtained in [1] for the case of a pairwise competition model introduced in [10], in which the equation…
On Mean Field Limit and Quantitative Estimates with a Large Class of Singular Kernels: Application to the Patlak-Keller-Segel Model
Didier Bresch, Pierre-Emmanuel Jabin, Zhenfu Wang
In this note, we propose a new relative entropy combination of the methods developed by P.--E. Jabin and Z.~Wang [Inventiones (2018)] and by S. Serfaty [Proc. Int. Cong. of Math, (…
Global weak solutions of PDEs for compressible media: A compactness criterion to cover new physical situations
D. Bresch, P. -E. Jabin
This short paper is an introduction of the memoir recently written by the two authors (see [D.Bresch., P.--E. Jabin, arXiv:1507.04629, (2015)]) which concerns the resolution of two…