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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorCasanova, Jean-Jérôme
hal.structure.identifierLaboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
dc.contributor.authorGrandmont, Céline
hal.structure.identifierInstitut Montpelliérain Alexander Grothendieck [IMAG]
dc.contributor.authorHillairet, Matthieu
HAL ID: 170840
dc.date.accessioned2019-12-19T10:46:09Z
dc.date.available2019-12-19T10:46:09Z
dc.date.issued2019
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20347
dc.language.isoenen
dc.subjectfluid-beam problemen
dc.subject.ddc515en
dc.titleOn an existence theory for a fluid-beam problem encompassing possible contactsen
dc.typeDocument de travail / Working paper
dc.description.abstractenIn this paper we consider a coupled system of pdes modelling the interaction between a two-dimensional incompressible viscous fluid and a one-dimensional elastic beam located on the upper part of the fluid domain boundary. We design a functional framework to define weak solutions in case of contact between the elastic beam and the bottom of the fluid cavity. We then prove that such solutions exist globally in time regardless a possible contact by approximating the beam equation by a damped beam and letting this additional viscosity vanishes.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages30en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02396915en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2019-12
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-12-19T10:30:41Z
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