A general existence result for conservation laws with spatial heterogeneities - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2016

A general existence result for conservation laws with spatial heterogeneities

Résumé

We consider a scalar conservation law with a flux containing spatial heterogeneities of bounded variation, where the number of discontinuities may be infinite. We address the question of existence of an adapted entropy solution in the BV framework. A sufficient key condition guaranteeing existence is identified and new BV estimates are given. This provides the most general BV theory available. Moreover, we show with a counter-example that if this hypothesis is violated, the problem may be ill-posed in the BV framework.
Fichier principal
Vignette du fichier
Piccoli_Tournus.pdf (498.46 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01352538 , version 1 (08-08-2016)
hal-01352538 , version 2 (06-04-2017)
hal-01352538 , version 3 (06-04-2018)

Identifiants

  • HAL Id : hal-01352538 , version 1

Citer

Benedetto Piccoli, Magali Tournus. A general existence result for conservation laws with spatial heterogeneities. 2016. ⟨hal-01352538v1⟩
211 Consultations
368 Téléchargements

Partager

Gmail Facebook X LinkedIn More