82 citations · 753 across the 71 of their papers we have counts for
6 papers · 1 filter
Kinetic-controlled hydrodynamics for multilane traffic models
R. Borsche, A. Klar, M. Zanella
We study the application of a recently introduced hierarchical description of traffic flow control by driver-assist vehicles to include lane changing dynamics. Lane-dependent feedb…
Kinetic models for epidemic dynamics with social heterogeneity
G. Dimarco, B. Perthame, G. Toscani +1
We introduce a mathematical description of the impact of sociality in the spread of infectious diseases by integrating an epidemiological dynamics with a kinetic modeling of popula…
Control of tumour growth distributions through kinetic methods
L. Preziosi, G. Toscani, M. Zanella
The mathematical modeling of tumor growth has a long history, and has been mathematically formulated in several different ways. Here we tackle the problem in the case of a continuo…
Wealth distribution under the spread of infectious diseases
G. Dimarco, L. Pareschi, G. Toscani +1
We develop a mathematical framework to study the economic impact of infectious diseases by integrating epidemiological dynamics with a kinetic model of wealth exchange. The multi-a…
Control with uncertain data of socially structured compartmental epidemic models
G. Albi, L. Pareschi, M. Zanella
The adoption of containment measures to reduce the amplitude of the epidemic peak is a key aspect in tackling the rapid spread of an epidemic. Classical compartmental models must b…
Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case
Lorenzo Pareschi, Mattia Zanella
In this paper we propose a novel numerical approach for the Boltzmann equation with uncertainties. The method combines the efficiency of classical direct simulation Monte Carlo (DS…