32 citations · 38 across the 14 of their papers we have counts for
15 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…
Existence of solutions to a class of one-dimensional models for pedestrian evacuations
Boris Andreianov, Theo Girard
In the framework inspired by R. L. Hughes model (Transp. Res. B, 2002) for pedestrian evacuation in a corridor, we establish existence of a solution by a topological fixed point ar…
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…
Nonlocal Dissipation Measure and L 1 Kinetic Theory For Fractional Conservation Laws
Nathaël Alibaud, Boris Andreianov, Adama Ouedraogo
We introduce a kinetic formulation for scalar conservation laws with nonlocal and nonlinear diffusion terms. We deal with merely L 1 initial data, general self-adjoint pure jump L{…
Well-posedness for a monotone solver for traffic junctions
Boris P. Andreianov, Giuseppe Maria Coclite, Carlotta Donadello
In this paper we aim at proving well-posedness of solutions obtained as vanishing viscosity limits for the Cauchy problem on a traffic junction where incoming and outgoing…