Gamma-entropy cost for scalar conservation laws

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dc.creatorBellettini, Giovanni
dc.creatorBertini, Lorenzo
dc.creatorMariani, Mauro
dc.creatorNovaga, Matteo
dc.date2007-12-07
dc.date2008-09-08
dc.date.accessioned2026-07-07T10:00:52Z
dc.date.available2026-07-07T10:00:52Z
dc.descriptionWe 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.
dc.description38 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0712.1198
dc.identifierhttp://arxiv.org/abs/0712.1198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168448
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject34E99
dc.titleGamma-entropy cost for scalar conservation laws
dc.typetext

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