Regularity for the stationary Navier-Stokes equations over bumpy boundaries and a local wall law
| hal.structure.identifier | Department of Mathematics, Graduate School of Science | |
| dc.contributor.author | HIGAKI, Mitsuo | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Centre National de la Recherche Scientifique [CNRS] | |
| dc.contributor.author | PRANGE, Christophe | |
| dc.date.accessioned | 2024-04-04T02:58:41Z | |
| dc.date.available | 2024-04-04T02:58:41Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 0944-2669 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192678 | |
| dc.description.abstractEn | We investigate regularity estimates for the stationary Navier-Stokes equations above a highly oscillating Lipschitz boundary with the no-slip boundary condition. Our main result is an improved Lipschitz regularity estimate at scales larger than the boundary layer thickness. We also obtain an improved $C^{1,\mu}$ estimate and identify the building blocks of the regularity theory, dubbed `Navier polynomials'. In the case when some structure is assumed on the oscillations of the boundary, for instance periodicity, these estimates can be seen as local error estimates. Although we handle the regularity of the nonlinear stationary Navier-Stokes equations, our results do not require any smallness assumption on the solutions. | |
| dc.description.sponsorship | Bords, oscillations et couches limites dans les systèmes différentiels - ANR-16-CE40-0027 | |
| dc.description.sponsorship | Ecoulements avec singularités : couches limites, filaments de vortex, interaction vague-structure - ANR-18-CE40-0027 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Regularity for the stationary Navier-Stokes equations over bumpy boundaries and a local wall law | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00526-020-01789-3 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1911.12609 | |
| bordeaux.journal | Calculus of Variations and Partial Differential Equations | |
| bordeaux.page | 131 | |
| bordeaux.volume | 59 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02388872 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02388872v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Calculus%20of%20Variations%20and%20Partial%20Differential%20Equations&rft.date=2020&rft.volume=59&rft.issue=4&rft.spage=131&rft.epage=131&rft.eissn=0944-2669&rft.issn=0944-2669&rft.au=HIGAKI,%20Mitsuo&PRANGE,%20Christophe&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||