2 papers
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…
math.AP2017
Traveling waves for degenerate diffusive equations on networks
Andrea Corli, Lorenzo Di Ruvo, Luisa Malaguti +1
In this paper we consider a scalar parabolic equation on a star graph; the model is quite general but what we have in mind is the description of traffic flows at a crossroad. In pa…