Hard congestion limit of the dissipative Aw-Rascle system - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2023

Hard congestion limit of the dissipative Aw-Rascle system


In this study, we analyse the famous Aw-Rascle system in which the difference between the actual and the desired velocities (the offset function) is a gradient of a singular function of the density. This leads to a dissipation in the momentum equation which vanishes when the density is zero. The resulting system of PDEs can be used to model traffic or suspension flows in one dimension with the maximal packing constraint taken into account. After proving the global existence of smooth solutions, we study the so-called "hard congestion limit", and show the convergence of a subsequence of solutions towards a weak solution of an hybrid freecongested system. In the context of suspension flows, this limit can be seen as the transition from a suspension regime, driven by lubrication forces, towards a granular regime, driven by the contact between the grains.
Fichier principal
Vignette du fichier
CNPZ_may2023.pdf (1.44 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03786853 , version 1 (23-09-2022)
hal-03786853 , version 2 (20-10-2023)


  • HAL Id : hal-03786853 , version 2


Nilasis Chaudhuri, Laurent Navoret, Charlotte Perrin, Ewelina Zatorska. Hard congestion limit of the dissipative Aw-Rascle system. 2023. ⟨hal-03786853v2⟩
131 View
53 Download


Gmail Facebook X LinkedIn More