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Asymptotic behaviour of a system modelling rigid structures floating in a viscous fluid

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorVERGARA-HERMOSILLA, Gastón
hal.structure.identifierDépartement d'Ingénierie des Systèmes Complexes [DISC]
dc.contributor.authorMATIGNON, Denis
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTUCSNAK, Marius
dc.date.accessioned2024-04-04T02:45:34Z
dc.date.available2024-04-04T02:45:34Z
dc.date.issued2021
dc.date.conference2021-08
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191479
dc.description.abstractEnThe PDE system introduced in Maity et al. (2019) describes the interaction of surface water waves with a floating solid, and takes into account the viscosity µ of the fluid. In this work, we study the Cummins type integro-differential equation for unbounded domains, that arises when the system is linearized around equilibrium conditions. A proof of the input-output stability of the system is given, thanks to a diffusive representation of the generalized fractionaloperator $\sqrt{1 + \mu s}$. Moreover, relying on Matignon (1996) stability result for fractional systems,explicit solutions are established both in the frequency and the time domains, leading to an explicit knowledge of the decay rate of the solution. Finally, numerical evidence is provided of the transition between different decay rates as a function of the viscosity $\mu$.
dc.language.isoen
dc.source.titleIFAC PapersOnline
dc.subject.enFluid-Structure Interaction
dc.subject.enFractional Differential Equations
dc.subject.enAsymptotic behaviour
dc.title.enAsymptotic behaviour of a system modelling rigid structures floating in a viscous fluid
dc.typeCommunication dans un congrès
dc.identifier.doi10.1016/j.ifacol.2021.06.146
dc.subject.halSciences de l'ingénieur [physics]/Autre
bordeaux.page205-212
bordeaux.volume54
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue9
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleMathematical Theory of Networks and Systems
bordeaux.countryGB
bordeaux.title.proceedingIFAC PapersOnline
bordeaux.conference.cityCambridge
bordeaux.peerReviewedoui
hal.identifierhal-03349704
hal.version1
hal.invitednon
hal.proceedingsoui
hal.conference.end2021-08
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03349704v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=IFAC%20PapersOnline&rft.date=2021&rft.volume=54&rft.issue=9&rft.spage=205-212&rft.epage=205-212&rft.au=VERGARA-HERMOSILLA,%20Gast%C3%B3n&MATIGNON,%20Denis&TUCSNAK,%20Marius&rft.genre=unknown


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