The objective of this conference is the study of the convergence of large interacting particle systems towards classical non linear physical equations, such as the Boltzmann equation, Landau equation, Keller-Segel equation, Cucker-Smale equation, etc. We will focus in particular on the convergence (as the number of particles increases to infinity), enabling to quantify the non linear approximation and its simulation, as well as its time uniformity.

We will thus also focus on the long time behaviour of both the particle system and the non linear equation. We will consider difficult and particularly relevant models with singular interactions (coulombian potential, inhomogeneous Boltzmann or Landau, etc).

This conference will bring together international specialists of both PDE and probability theory and by confronting these two fields, we hope to conceive new methodologies enabling us to tackle these hard problems.

This conference will be jointly organized by the ANR projet Stab (Stabilité du comportement asymptotique d’EDP, de processus stochastiques et de leurs discrétisations) coordinated by Ivan Gentil and François Bolley, whose main aims essentially coincide with the subject here.


Senior Talks 

• Pietro Caputo (University Roma Tre)

Entropy production in nonlinear recombination models   (pdf)

• Pierre Degond (Imperial College)

Coarse-graining of collective dynamics models – Metric vs topological interactions (pdf)

• Pierre Del Moral (INRIA)

On the stability and the applications of interacting particle systems   (pdf)

• Andreas Eberle (University of Bonn)

A coupling approach to the kinetic Langevin equation   (pdf)

• Francis Filbet (Université de Toulouse)

Asymptotically stable particle in cell methods for the Vlasov-Poisson system with a strong external magnetic field

• Joaquin Fontbona (University of Chile)

Quantitative uniform propagation of chaos for Maxwell molecules   (pdf)

• Irene Gamba (University of Texas at Austin)

The Cauchy problem for the quantum Boltzmann equation for bosons at very low temperature​   (pdf)

• Maria Pia Gualdani (George Washington University)

The isotropic Landau equation   (pdf)

• Maxime Hauray (Aix-Marseille Université)

Propagation of chaos for the 3D homogenous Landau equation with moderalty soft potential

• Benjamin Jourdain (Ecole Nationale des Ponts et Chaussées)

On a stochastic particle approximation of the Keller-Segel equation

• Tony Lelièvre (Ecole Nationale des Ponts et Chaussées)

Metastability : a journey from stochastic processes to semiclassical analysis 
(pdf) (LJ7direct.mov)

• Florent Malrieu (Université de Tours)

Long time behaviour of some McKean-Vlasov equation with non-convex connement potential

• Laurent Miclo (Université de Toulouse)

On Markov intertwinings

• Stéphane Mischler (Université Paris Dauphine)

Villani’s program on constructive rate of convergence to the equilibrium : Part I – Coercivity estimates   (pdf)

• Mario Pulvirenti (Sapienza University)

On the Propagation of Chaos in Kinetic Theory   (pdf)

• Juan J.L. Velazquez (University of Bonn)

Asymptotic behaviour for homoenergetic solutions of the Boltzmann equation(pdf)

Mini-courses
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• Thierry Bodineau (Ecole polytechnique)

From hard-sphere dynamics to the Boltzmann equation

• Laurent Desvillettes (Université Paris Diderot)

Entropic structure of the Landau equation with Coulomb interaction   (pdf)

Junior Talks 
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• Kleber Carrapatoso (Université de Montpellier)

Long-time behaviour of the Landau equation

• Max Fathi (Université Toulouse)

Entropic Ricci curvature on discrete spaces  (pdf)

• Tom Holding (University of Warwick)

Propagation of chaos for Holder continuous interaction kernels via Glivenko-Cantelli   (pdf)

• Pierre Monmarché (CERMICS, Ecole de Ponts)

​Mean field kinetic particles and the Vlasov-Fokker-Planck equation   (pdf)

• Laure Pédèches (Université de Toulouse)

Flocking for stochastic variations of the Cucker-Smale model   (pdf)

• Julien Reygner (Ecole Nationale des Ponts et Chaussées)

Convergence rates for a particle approximation of conservation laws   (pdf)

• Samir Salem (Aix-Marseille Université)

Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zones   (pdf)

• Isabelle Tristani (ENS Paris)

On the Boltzmann equation without cutoff   (pdf)