Show simple item record

dc.contributor.authorAncona, Fabio
dc.contributor.authorGlass, Olivier
dc.contributor.authorNguyen, Khai T.
dc.date.accessioned2011-07-21T09:55:01Z
dc.date.available2011-07-21T09:55:01Z
dc.date.issued2012
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6758
dc.language.isoenen
dc.subjectcompactnessen
dc.subjectscalar conservation lawsen
dc.subject.ddc515en
dc.titleLower compactness estimates for scalar balance lawsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherDipartimento di Matematica Pura ed Applicata http://www.Math.UniPD.it Università degli studi di Padova;Italie
dc.description.abstractenIn this paper, we study the compactness in L^{1}_{loc} of the semigroup of entropy weak solutions to strictly convex scalar conservation laws in one space dimension. The compactness of this semi-group for each time t>0 was established by P. D. Lax. Upper estimates for the Kolmogorov's epsilon-entropy of the image through the semi-group of sets bounded in L^{1} and L^\infty were given by C. De Lellis and F. Golse. Here, we provide lower estimates on this epsilon-entropy of the same order. Moreover, we extend these estimates of compactness to the case of convex balance laws.en
dc.relation.isversionofjnlnameCommunications on Pure and Applied Mathematics
dc.relation.isversionofjnlvol65
dc.relation.isversionofjnlissue9
dc.relation.isversionofjnldate2012
dc.relation.isversionofjnlpages1303-1329
dc.relation.isversionofdoihttp://dx.doi.org/10.1002/cpa.21406
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00606311/fr/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherWiley
dc.subject.ddclabelAnalyseen


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