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.

Bellettini, G., Caselli, F., Mariani, M. (2010). Quasi-potentials of the entropy functionals for scalar conservation laws. JOURNAL OF FUNCTIONAL ANALYSIS, 258(2), 534-558 [10.1016/j.jfa.2009.07.003].

Quasi-potentials of the entropy functionals for scalar conservation laws

BELLETTINI, GIOVANNI;
2010-01-01

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.
2010
Bellettini, G., Caselli, F., Mariani, M. (2010). Quasi-potentials of the entropy functionals for scalar conservation laws. JOURNAL OF FUNCTIONAL ANALYSIS, 258(2), 534-558 [10.1016/j.jfa.2009.07.003].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/1017498