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dc.contributor.authorMECHERBET, Amina
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorSUEUR, Franck
dc.date.accessioned2024-04-04T02:38:25Z
dc.date.available2024-04-04T02:38:25Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190874
dc.description.abstractEnWe consider the so-called transport-Stokes system which describes sedimentation of inertialess suspensions in a viscous flow and couples a transport equation and the steady Stokes equations in the full three-dimensional space. First we present a global existence and uniqueness result for $L^1 \cap L^p$ initial densities where $p \geq 3$. Secondly, we prove that, in the case where $p>3$, the flow map which describes the trajectories of these solutions is analytic with respect to time. Finally we establish the small-time global exact controllability of the transport-Stokes system. These results extend to the transport-Stokes system some results obtained for the incompressible Euler system respectively by Yudovich in [40], by Chemin in [2,3] and by Coron, and Glass, in [6,14].
dc.language.isoen
dc.title.enA few remarks on the transport-Stokes system
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.identifier.arxiv2209.11637
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03867203
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03867203v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=MECHERBET,%20Amina&SUEUR,%20Franck&rft.genre=preprint


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