1 citations · 1 across the 2 of their papers we have counts for
4 papers
Pareto-optimal coupling conditions for the Aw-Rascle-Zhang traffic flow model at junctions
Oliver Kolb, Guillaume Costeseque, Paola Goatin +1
This article deals with macroscopic traffic flow models on a road network. More precisely, we consider coupling conditions at junctions for the Aw-Rascle-Zhang second order model c…
From traffic and pedestrian follow-the-leader models with reaction time to first order convection-diffusion flow models
Antoine Tordeux, Guillaume Costeseque, Michael Herty +1
In this work, we derive first order continuum traffic flow models from a microscopic delayed follow-the-leader model. Those are applicable in the context of vehicular traffic flow…
The impact of source terms in the variational representation of traffic flow
Jorge A Laval, Guillaume Costeseque, Rama Chilukuri
This paper revisits the variational theory of traffic flow, now under the presence of continuum lateral inflows and outflows to the freeway say Eulerian source terms. It is found t…
A convergent scheme for Hamilton-Jacobi equations on a junction: application to traffic
Guillaume Costeseque, Jean-Patrick Lebacque, Régis Monneau
In this paper, we consider first order Hamilton-Jacobi (HJ) equations posed on a ``junction'', that is to say the union of a finite number of half-lines with a unique common point.…