A few remarks on the transport-Stokes system
dc.contributor.author | MECHERBET, Amina | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | SUEUR, Franck | |
dc.date.accessioned | 2024-04-04T02:38:25Z | |
dc.date.available | 2024-04-04T02:38:25Z | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190874 | |
dc.description.abstractEn | We 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.iso | en | |
dc.title.en | A few remarks on the transport-Stokes system | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
dc.identifier.arxiv | 2209.11637 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-03867203 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-03867203v1 | |
bordeaux.COinS | ctx_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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