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dc.contributor.authorGlass, Olivier
dc.date.accessioned2013-04-18T13:41:33Z
dc.date.available2013-04-18T13:41:33Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11226
dc.language.isoenen
dc.subjecthyperbolic systems of conservation lawsen
dc.subjectnon-isentropic Euler equationsen
dc.subjectControllabilityen
dc.subjectsystèmes hyperboliques de lois de conservationen
dc.subjectContrôlabilitéen
dc.subject.ddc515en
dc.titleOn the controllability of the non-isentropic 1-D Euler equationen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn this paper, we examine the question of the boundary controllability of the one-dimensional non-isentropic Euler equation for compressible polytropic gas, in the context of weak entropy solutions. We consider the system in Eulerian coordinates and the one in Lagrangian coordinates. We obtain for both systems a result of controllability toward constant states (with the limitation $\gamma < \frac{5}{3}$ on the adiabatic constant for the Lagrangian system). The solutions that we obtain remain of small total variation in space if the initial condition is itself of sufficiently small total variation.en
dc.relation.isversionofjnlnameJournal of Differential Equations
dc.relation.isversionofjnlvol257
dc.relation.isversionofjnlissue3
dc.relation.isversionofjnldate2014
dc.relation.isversionofjnlpages638-719
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.jde.2014.04.013
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00813700en
dc.relation.isversionofjnlpublisherElsevier
dc.subject.ddclabelAnalyseen
dc.description.submittednonen


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