Mean field limit and quantitative estimates with singular attractive kernels

Global-in-time mean-field convergence for singular Riesz-type diffusive flows

(2023) Matthew Rosenzweig et al.   ANNALS OF APPLIED PROBABILITY

A new McKean–Vlasov stochastic interpretation of the parabolic–parabolic Keller–Segel model: The one-dimensional case

(2020) Denis Talay et al.   BERNOULLI

Mean field limit for Coulomb-type flows

(2020) Sylvia Serfaty   DUKE MATHEMATICAL JOURNAL

On mean-field limits and quantitative estimates with a large class of singular kernels: Application to the Patlak–Keller–Segel model

(2019) Didier Bresch et al.   COMPTES RENDUS MATHEMATIQUE

Quantitative estimates of propagation of chaos for stochastic systems with W-1,∞ kernels

(2018) Pierre-Emmanuel Jabin et al.   INVENTIONES MATHEMATICAE

Global existence of weak solutions for compressible Navier--Stokes equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor

(2018) Didier Bresch et al.   ANNALS OF MATHEMATICS

Dynamics of a planar Coulomb gas

(2018) François Bolley et al.   ANNALS OF APPLIED PROBABILITY

Mean field limit and propagation of chaos for Vlasov systems with bounded forces

(2016) Pierre-Emmanuel Jabin et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Mean-Field Limits for Some Riesz Interaction Gradient Flows

(2016) Mitia Duerinckx   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Propagation of chaos for a subcritical Keller–Segel model

(2015) David Godinho et al.   ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES

Existence, Uniqueness and Lipschitz Dependence for Patlak–Keller–Segel and Navier–Stokes in $${\mathbb{R}^2}$$ R 2 with Measure-Valued Initial Data

(2014) Jacob Bedrossian et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Propagation of chaos for the 2D viscous vortex model

(2014) Nicolas Fournier et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

A functional framework for the Keller–Segel system: Logarithmic Hardy–Littlewood–Sobolev and related spectral gap inequalities

(2012) Jean Dolbeault et al.   COMPTES RENDUS MATHEMATIQUE

Convergence of a Stochastic Particle Approximation for Measure Solutions of the 2D Keller-Segel System

(2011) Jan Haškovec et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Quasineutral Limit of the Vlasov-Poisson System with Massless Electrons

(2011) Daniel Han-Kwan   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

WASSERSTEIN DISTANCES FOR VORTICES APPROXIMATION OF EULER-TYPE EQUATIONS

(2009) MAXIME HAURAY   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES