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hal.structure.identifier
dc.contributor.authorMoussa, Ayman
HAL ID: 10753
ORCID: 0000-0001-5802-6797
*
hal.structure.identifier
dc.contributor.authorGlass, Olivier*
hal.structure.identifier
dc.contributor.authorHan-Kwan, Daniel
HAL ID: 17694
*
dc.date.accessioned2017-12-06T14:41:59Z
dc.date.available2017-12-06T14:41:59Z
dc.date.issued2018
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17189
dc.language.isoenen
dc.subjectSpray model
dc.subjectincompressible Navier-Stokes equation
dc.subjectkinetic/ fluid coupling, stability
dc.subject.ddc515en
dc.titleThe Vlasov-Navier-Stokes system in a 2D pipe: existence and stability of regular equilibria
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn this paper, we study the Vlasov-Navier-Stokes system in a 2D pipe with partially absorbing boundary conditions. We show the existence of stationary states for this system near small Poiseuille flows for the fluid phase, for which the kinetic phase is not trivial. We prove the asymptotic stability of these states with respect to appropriately compactly supported perturbations. The analysis relies on geometric control conditions which help to avoid any concentration phenomenon for the kinetic phase.
dc.relation.isversionofjnlnameArchive for Rational Mechanics and Analysis
dc.relation.isversionofjnlvol230
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2018
dc.relation.isversionofdoi10.1007/s00205-018-1253-1
dc.identifier.urlsitehttps://arxiv.org/abs/1612.06808
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelAnalyseen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-12-15T15:33:33Z
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