93 citations · 93 across the 3 of their papers we have counts for
3 papers
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…
Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit
Marco Di Francesco, Massimiliano D. Rosini
We prove that the unique entropy solution to a scalar nonlinear conservation law with strictly monotone velocity and nonnegative initial condition can be rigorously obtained as the…
Riemann problems with non--local point constraints and capacity drop
Boris Andreianov, Carlotta Donadello, Ulrich Razafison +1
In the present note we discuss in details the Riemann problem for a one--dimensional hyperbolic conservation law subject to a point constraint. We investigate how the regularity of…