1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
On existence, stability and many-particle approximation of solutions of 1D Hughes model with linear costs
Boris Andreianov, Massimiliano Rosini, Graziano Stivaletta
This paper deals with the one-dimensional formulation of Hughes model for pedestrian flows in the setting of entropy solutions, which authorizes non-classical shocks at the locatio…
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…