3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2025
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…