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. © 2009 Elsevier Inc. All rights reserved.
Quasi-potentials of the entropy functionals for scalar conservation laws / Giovanni, Bellettini; Federica, Caselli; Mariani, Mauro. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 258:2(2010), pp. 534-558. [10.1016/j.jfa.2009.07.003]
Quasi-potentials of the entropy functionals for scalar conservation laws
MARIANI, Mauro
2010
Abstract
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. © 2009 Elsevier Inc. All rights reserved.File allegati a questo prodotto
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