dc.contributor.author Glass, Olivier dc.contributor.author Guerrero, Sergio dc.date.accessioned 2011-10-11T13:55:14Z dc.date.available 2011-10-11T13:55:14Z dc.date.issued 2007 dc.identifier.uri https://basepub.dauphine.fr/handle/123456789/7174 dc.language.iso en en dc.subject controllability en dc.subject Burgers equation en dc.subject vanishing viscosity limit en dc.subject.ddc 515 en dc.title On the Uniform Controllability of the Burgers Equation en dc.type Article accepté pour publication ou publié dc.description.abstracten In this paper, we deal with the viscous Burgers equation with a small dissipation coefficient $\nu$. We prove the (global) exact controllability property to nonzero constant states, that is to say, the possibility of finding boundary values such that the solution of the associated Burgers equation is driven to a constant state. The main objective of this paper is to do so with control functions whose norms in an appropriate space are bounded independently of $\nu$, which belongs to a suitably small interval. This result is obtained for a sufficiently large time. en dc.relation.isversionofjnlname SIAM Journal on Control and Optimization dc.relation.isversionofjnlvol 46 en dc.relation.isversionofjnlissue 4 en dc.relation.isversionofjnldate 2007 dc.relation.isversionofjnlpages 1211-1238 en dc.relation.isversionofdoi http://dx.doi.org/10.1137/060664677 en dc.description.sponsorshipprivate oui en dc.relation.isversionofjnlpublisher SIAM en dc.subject.ddclabel Analyse en
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