Show simple item record

Γ -Entropy Cost for Scalar Conservation Laws

dc.contributor.authorBellettini, Giovanni
dc.contributor.authorBertini, Lorenzo
dc.contributor.authorMariani, Mauro
dc.contributor.authorNovaga, Matteo
dc.date.accessioned2014-02-13T13:06:04Z
dc.date.available2014-02-13T13:06:04Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/12660
dc.language.isoenen
dc.subjectscalar conservation lawsen
dc.subject.ddc515en
dc.titleΓ -Entropy Cost for Scalar Conservation Lawsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe 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.en
dc.relation.isversionofjnlnameArchive for Rational Mechanics and Analysis
dc.relation.isversionofjnlvol195en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2010
dc.relation.isversionofjnlpages261-309en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00205-008-0197-2en
dc.identifier.urlsitehttp://arxiv.org/abs/0712.1198v2en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record