Thumbnail - Request a copy

Quasi-potentials for entropy functionals of scalar conservation laws

Mariani, Mauro; Federica, Caselli; Giovanni, Bellettini (2010), Quasi-potentials for entropy functionals of scalar conservation laws, Journal of Functional Analysis, 258, 2, p. 534-558. http://dx.doi.org/10.1016/j.jfa.2009.07.003

Type
Article accepté pour publication ou publié
Date
2010
Nom de la revue
Journal of Functional Analysis
Volume
258
Numéro
2
Éditeur
Elsevier
Pages
534-558
Identifiant publication
Métadonnées
Afficher la notice complète
Auteur(s)
Mariani, Mauro
Federica, Caselli
Giovanni, Bellettini
Résumé (EN)
We investigate the quasi-potential problem for the entropy cost functionals of non-entropic solutions to scalar conservation laws with smooth fluxes. We prove that the quasi-potentials coincide with the integral of a suitable Einstein entropy.
Mots-clés
Entropy; Conservation laws; Quasi-potential