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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTENDANI SOLER, Adrien
dc.date.accessioned2024-04-04T02:41:13Z
dc.date.available2024-04-04T02:41:13Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191130
dc.description.abstractEnIn this paper, we investigate the local null controllability for a compressible Navier-Stokes-Korteweg with quantum pressure indimension $d\in\{2,3\}$, when the control acts on the whole boundary of a domain or on a subdomain of a torus. We obtain thelocal null controllability for the velocity and the fluctuation of the density, for all positive times, according to the hidden parabolicstructure of the equation. This contrasts with standard control properties for the compressible Navier-Stokes equation.To the best of our knowledge, this is the first work concerning the controlability of Korteweg type system for compressible fluids.
dc.language.isoen
dc.title.enLocal exact controllability for Navier-Stokes-Korteweg modelin dimension $d\in\{2,3\}$
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03692409
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03692409v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=TENDANI%20SOLER,%20Adrien&rft.genre=preprint


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