Local exact controllability for Navier-Stokes-Korteweg modelin dimension $d\in\{2,3\}$
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | TENDANI SOLER, Adrien | |
| dc.date.accessioned | 2024-04-04T02:41:13Z | |
| dc.date.available | 2024-04-04T02:41:13Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191130 | |
| dc.description.abstractEn | In 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.iso | en | |
| dc.title.en | Local exact controllability for Navier-Stokes-Korteweg modelin dimension $d\in\{2,3\}$ | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| 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-03692409 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03692409v1 | |
| bordeaux.COinS | ctx_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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