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dc.contributor.authorGlass, Olivier
dc.date.accessioned2012-01-19T10:27:24Z
dc.date.available2012-01-19T10:27:24Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/7903
dc.language.isoenen
dc.subjectVanishingviscositylimiten
dc.subjectNull controllabilityen
dc.subject.ddc515en
dc.titleA complex-analytic approach to the problem of uniform controllability of a transport equation in the vanishing viscosity limiten
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe revisit a result by Coron and Guerrero stating that the one-dimensional transport-diffusion equation u_x+ Mu_x-εu_xx=0 in(0,T)×(0,L) controlled by the left Dirichlet boundary value is zero-controllable at a bounded cost as ε→0+, when T>4.3L/M if M>0 and when T>57.2L/|M| if M<0. By a completely different method, relying on complex analysis, we prove that this still holds when T>4.2L/M if M>0 and when T>6.1L/|M| if M<0.en
dc.relation.isversionofjnlnameJournal of Functional Analysis
dc.relation.isversionofjnlvol258en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate2010
dc.relation.isversionofjnlpages852-868en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.jfa.2009.06.035en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAnalyseen


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