68 citations · 331 across the 31 of their papers we have counts for
35 papers
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…
Propagation of chaos for topological interactions by a coupling technique
Pierre Degond, Mario Pulvirenti, Stefano Rossi
We consider a system of particles which interact through a jump process. The jump intensities are functions of the proximity rank of the particles, a type of interaction referred t…
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…
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…
A stochastic particle system approximating the BGK equation
Paolo Buttà, Mario Pulvirenti
We consider a stochastic -particle system on a torus in which each particle moving freely can instantaneously thermalize according to the particle configuration at that instant.…
Kinetic SIR equations and particle limits
Alessandro Ciallella, Mario Pulvirenti, Sergio Simonella
We present and analyze two simple -particle particle systems for the spread of an infection, respectively with binary and with multi-body interactions. We establish a convergenc…