EXISTENCE OF ENTROPY SOLUTIONS FOR MULTIDIMENSIONAL CONSERVATION LAWS WITH L 1 BOUNDARY CONDITIONS - Sorbonne Université Accéder directement au contenu
Article Dans Une Revue Mathematics in Engineering, Science and Aerospace (MESA) Année : 2018

EXISTENCE OF ENTROPY SOLUTIONS FOR MULTIDIMENSIONAL CONSERVATION LAWS WITH L 1 BOUNDARY CONDITIONS

Résumé

This paper deals with the construction of nonlinear boundary conditions for multidimensional conservation laws. Specifically by introducing a new type of entropy solution matching the boundary condition, the existence and uniqueness of a solution belonging to L ∞ ∩ BV is proved by using the Di Perna-Lions regularization method. The new entropy solution, which takes advantage by the entropy criterion introduced by Bardos-Le Roux-Nédélec for first-order quasilinear equations with boundary conditions, is based on a weaker assumption at the boundary.
Fichier principal
Vignette du fichier
CD2-Juin2018.pdf (438.17 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02151726 , version 1 (09-06-2019)

Identifiants

  • HAL Id : hal-02151726 , version 1

Citer

Christian Dogbe, C. Bianca. EXISTENCE OF ENTROPY SOLUTIONS FOR MULTIDIMENSIONAL CONSERVATION LAWS WITH L 1 BOUNDARY CONDITIONS. Mathematics in Engineering, Science and Aerospace (MESA) , 2018, Vol. 9 (No. 4), pp.507-526. ⟨hal-02151726⟩
142 Consultations
81 Téléchargements

Partager

Gmail Facebook X LinkedIn More