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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
Journal name
Journal of Functional Analysis
Volume
258
Number
2
Publisher
Elsevier
Pages
534-558
Publication identifier
Metadata
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Author(s)
Mariani, Mauro
Federica, Caselli
Giovanni, Bellettini
Abstract (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.
Subjects / Keywords
Entropy; Conservation laws; Quasi-potential