7 citations · 7 across the 5 of their papers we have counts for
7 papers
Particle approximation of one-dimensional Mean-Field-Games with local interactions
Marco Di Francesco, Serikbolsyn Duisembay, Diogo Aguiar Gomes +1
We study a particle approximation for one-dimensional first-order Mean-Field-Games (MFGs) with local interactions with planning conditions. Our problem comprises a system of a Hami…
The one-sided Lipschitz condition in the follow-the-leader approximation of scalar conservation laws
Marco Di Francesco, Graziano Stivaletta
We consider the follow-the-leader particle approximation scheme for a scalar conservation law with nonnegative initial datum and with a concave flux, which…
Convergence of the follow-the-leader scheme for scalar conservation laws with space dependent flux
Marco Di Francesco, Graziano Stivaletta
This paper deals with the derivation of entropy solutions to Cauchy problems for a class of scalar conservation laws with space-density depending fluxes from systems of determinist…
Nonlinear degenerate cross-diffusion systems with nonlocal interaction
M. Di Francesco, A. Esposito, S. Fagioli
We investigate a class of systems of partial differential equations with nonlinear cross-diffusion and nonlocal interactions, which are of interest in several contexts in social sc…
Deterministic particle approximation of scalar conservation laws
Marco Di Francesco, Simone Fagioli, Massimiliano D. Rosini
In this paper we prove that the unique entropy solution to a scalar nonlinear conservation law with strictly monotone velocity and nonnegative initial condition can be rigorously o…
Mean field games with nonlinear mobilities in pedestrian dynamics
Martin Burger, Marco Di Francesco, Peter Markowich +1
In this paper we present an optimal control approach modeling fast exit scenarios in pedestrian crowds. In particular we consider the case of a large human crowd trying to exit a r…