Particle approximation of a constrained model for traffic flow

Florent Berthelin (1, 2) , Paola Goatin (1, 3)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 COFFEE - COmplex Flows For Energy and Environment
3 ACUMES - Analysis and Control of Unsteady Models for Engineering Sciences

We rigorously prove the convergence of the micro-macro limit for particle approximations of the Aw-Rascle-Zhang equations with a maximal density constraint. The lack of BV bounds on the density variable is supplied by a compensated compactness argument.

Mots clés: Conservation laws with density constraint; Many-particle system; Traffic flow models.

Domaines: Equations aux dérivées partielles [math.AP]

Florent Berthelin, Paola Goatin. Particle approximation of a constrained model for traffic flow. Nonlinear Differential Equations and Applications, 2017, 24 (5), pp.24-55. ⟨hal-01437867⟩