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20192025
most citedOn existence, stability and many-particle approximation of solutions of 1D Hughes model with linear costs

1 citations · 1 across the 5 of their papers we have counts for

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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…

math.AP2021

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…