Some applications of the SBV Regularity Theorem for entropy solutions of 1D scalar conservation laws to Convection Theory and sticky particles

Daniela Tonon 1
1 C&O - Equipe combinatoire et optimisation
UPMC - Université Pierre et Marie Curie - Paris 6, CNRS - Centre National de la Recherche Scientifique : FRE3232
Abstract : We show how it is possible to apply the SBV Regularity Theorem for entropy solutions of one-dimensional scalar conservation laws, proved by Ambrosio and De Lellis, to Convection Theory and sticky particles. In the multi-dimensional case we present a counterexample which prevent us from using the same approach.
Type de document :
Article dans une revue
Rivista di Matematica della Universita' degli studi di Parma, Universita' degli studi di Parma, 2012, 3 (1), pp.163-175. 〈http://www.math.unipr.it/~rivista/dati/2012-3-1/indice.html〉
Liste complète des métadonnées

https://hal.inria.fr/hal-00724831
Contributeur : Estelle Bouzat <>
Soumis le : mercredi 22 août 2012 - 17:51:18
Dernière modification le : jeudi 22 novembre 2018 - 14:09:30

Identifiants

  • HAL Id : hal-00724831, version 1

Citation

Daniela Tonon. Some applications of the SBV Regularity Theorem for entropy solutions of 1D scalar conservation laws to Convection Theory and sticky particles. Rivista di Matematica della Universita' degli studi di Parma, Universita' degli studi di Parma, 2012, 3 (1), pp.163-175. 〈http://www.math.unipr.it/~rivista/dati/2012-3-1/indice.html〉. 〈hal-00724831〉

Partager

Métriques

Consultations de la notice

94