93 citations · 118 across the 18 of their papers we have counts for
23 papers
On a system of conservation laws with discontinuous flux
Felisia Angela Chiarello, Simone Fagioli, Bastien Polizzi +1
We study a one-dimensional system of conservation laws with discontinuous flux. We prove the global existence of weak solutions for initial data with sufficiently small total…
Fully discrete follow-the-leader approximation of one-dimensional scalar conservation laws with vacuum
M. Di Francesco, S. Fagioli, V. Iorio +1
We present a fully discrete particle approximation for one-dimensional scalar conservation laws. Under suitable monotonicity assumptions on the macroscopic velocity, we construct a…
On stability of one-dimensional Hughes' dynamics with affine costs
Boris Andreianov, Simone Fagioli, Massimiliano D. Rosini +1
We investigate stability issues for the one-dimensional variant of the celebrated Hughes model for pedestrian evacuation. The cost function is assumed to be affine, which is a sett…
Existence result for a 2 x 2 system of conservation laws with discontinuous flux and applications
Felisia Angela Chiarello, Simone Fagioli, Massimiliano Daniele Rosini
This paper is concerned with one-dimensional 2 x 2 systems of conservation laws with a flux f=f(x, U) that is discontinuous with respect to the spatial variable. No monotonicity as…
The mathematical theory of Hughes' model: a survey of results
Debora Amadori, Boris Andreianov, Marco Di Francesco +9
We provide an overview of the results on Hughes' model for pedestrian movements available in the literature. After the first successful approaches to solving a regularised version…
Coherence and flow-maximization of a one-way valve
Andrea Corli, Ulrich Razafison, Massimiliano D. Rosini
We consider a mathematical model for the gas flow through a one-way valve and focus on two issues. First, we propose a way to eliminate the chattering (the fast switch on and off o…