35 citations · 120 across the 29 of their papers we have counts for
32 papers
Derivation of the Boltzmann equation from hard-sphere dynamics (after Y. Deng, Z. Hani, and X. Ma)
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
Consider a microscopic system of hard spheres that are initially independent (modulo the exclusion condition on particle positions) and identically distributed in $\mathbb{R}^3…
From particle systems to the BGK equation
Paolo Buttà, Mario Pulvirenti, Sergio Simonella
In [Phys. Rev. 94 (1954), 511-525], P.L. Bhatnagar, E.P. Gross and M. Krook introduced a kinetic equation (the BGK equation), effective in physical situations where the Knudsen num…
Mean Field Limit for the Kac model and Grand Canonical Formalism
Thierry Paul, Mario Pulvirenti, Sergio Simonella
We consider the classical Kac's model for the approximation of the Boltzmann equation, and study the correlation error measuring the defect of propagation of chaos in the mean fiel…
Dynamics of dilute gases at equilibrium: from the atomistic description to fluctuating hydrodynamics
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
We derive linear fluctuating hydrodynamics as the low density limit of a deterministic system of particles at equilibrium. The proof builds upon previous results of the authors whe…
Propagation of chaos for a stochastic particle system modelling epidemics
Alessandro Ciallella, Mario Pulvirenti, Sergio Simonella
We consider a simple stochastic -particle system, already studied by the same authors in \cite{CPS21}, representing different populations of agents. Each agent has a label descr…
Cluster expansion for a dilute hard sphere gas dynamics
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
In [7], a cluster expansion method has been developed to study the fluctuations of the hard sphere dynamics around the Boltzmann equation. This method provides a precise control on…