10 citations · 14 across the 5 of their papers we have counts for
4 papers · 1 filter
Long-time correlations for a hard-sphere gas at equilibrium
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
It has been known since Lanford [19] that the dynamics of a hard sphere gas is described in the low density limit by the Boltzmann equation, at least for short times. The classical…
A kinetic model for epidemic spread
Mario Pulvirenti, Sergio Simonella
We present a Boltzmann equation for mixtures of three species of particles reducing to the Kermack-McKendrick (SIR) equations for the time-evolution of the density of infected agen…
On the cardinality of collisional clusters for hard spheres at low density
Mario Pulvirenti, Sergio Simonella
We resume the investigation, started in arXiv:1408.6571, of the statistics of backward clusters in a gas of hard spheres of small diameter . A backward cluster is…
Fluctuation theory in the Boltzmann--Grad limit
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
We develop a rigorous theory of hard-sphere dynamics in the kinetic regime, away from thermal equilibrium. In the low density limit, the empirical density obeys a law of large numb…