10 citations · 10 across the 1 of their papers we have counts for
3 papers
cond-mat.stat-mech2020
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…
math.AP2020
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…
math-ph2017★ 10 cited
On the theory of Lorentz gases with long range interactions
Alessia Nota, Sergio Simonella, Juan J. L. Velázquez
We construct and study the stochastic force field generated by a Poisson distribution of sources at finite density, in each of them yielding a long…