1 citations
- Institut Denis PoissonFR2 papers
- Peoples' Friendship University of RussiaRU2 papers
- Université de ToursFR2 papers
- Université d'OrléansFR2 papers
- Centre National de la Recherche ScientifiqueFR1 paper
- Idiap Research InstituteCH1 paper
- Maria Curie-Skłodowska UniversityPL1 paper
- University of FerraraIT1 paper
- University of L'AquilaIT1 paper
2 papers
math.AP2023★ 1 cited
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…
math.AP2021★ 1 cited
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…