Hard-congestion limit of the p-system in the BV setting - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année :

Hard-congestion limit of the p-system in the BV setting

(1) , (2) , (3)
1
2
3

Résumé

This note is concerned with the rigorous justification of the so-called hard congestion limit from a compressible system with singular pressure towards a mixed compressible-incompressible system modeling partially congested dynamics, for small data in the framework of BV solutions. We present a first convergence result for perturbations of a reference state represented by a single propagating large interface front, while the study of a more general framework where the reference state is constituted by multiple interface fronts is announced in the conclusion and will be the subject of a forthcoming paper. A key element of the proof is the use of a suitably weighted Glimm functional that allows to obtain precise estimates on the BV norm of the front-tracking approximation.
Fichier principal
Vignette du fichier
ABP_proceeding_2022-28.pdf (730.08 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03854613 , version 1 (15-11-2022)

Identifiants

  • HAL Id : hal-03854613 , version 1

Citer

Fabio Ancona, Roberta Bianchini, Charlotte Perrin. Hard-congestion limit of the p-system in the BV setting. 2022. ⟨hal-03854613⟩
0 Consultations
0 Téléchargements

Partager

Gmail Facebook Twitter LinkedIn More