
Γ -Entropy Cost for Scalar Conservation Laws
Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo (2010), Γ -Entropy Cost for Scalar Conservation Laws, Archive for Rational Mechanics and Analysis;0003-9527, 195, 1, p. 261–309. 10.1007/s00205-008-0197-2
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Type
Article accepté pour publication ou publiéDate
2010Nom de la revue
Archive for Rational Mechanics and Analysis;0003-9527Volume
195Numéro
1Éditeur
Elsevier
Pages
261–309
Identifiant publication
Métadonnées
Afficher la notice complèteAuteur(s)
Bellettini, GiovanniDipartimento di Matematica [Roma II] [DIPMAT]
Bertini, Lorenzo
Mariani, Mauro
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Novaga, Matteo
Dipartimento di Matematica [Pisa]
Résumé (EN)
We are concerned with a control problem related to the vanishing viscosity approximation to scalar conservation laws. We investigate the Γ -convergence of the control cost functional, as the viscosity coefficient tends to zero. A first-order Γ -limit is established, which characterizes the measure-valued solutions to the conservation laws as the zeros of the Γ -limit. A second-order Γ -limit is then investigated, providing a characterization of entropic solutions to conservation laws as the zeros of the Γ -limit.Mots-clés
Radon Measure; Limit Point; Conservation Laws; Weak Solution; EntropyPublications associées
Affichage des éléments liés par titre et auteur.
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Bellettini, Giovanni; Bertini, Lorenzo; Mariani, Mauro; Novaga, Matteo (2010) Article accepté pour publication ou publié
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Bellettini, Giovanni; Bertini, Lorenzo; Mauro, Mariani (2010) Article accepté pour publication ou publié
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Mariani, Mauro; Federica, Caselli; Giovanni, Bellettini (2010) Article accepté pour publication ou publié
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Mariani, Mauro (2010) Article accepté pour publication ou publié
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Mariani, Mauro (2007) Communication / Conférence