Local energy weak solutions for the Navier-Stokes equations in the half-space
| hal.structure.identifier | Kyoto University | |
| dc.contributor.author | MAEKAWA, Yasunori | |
| hal.structure.identifier | Tokyo Institute of Technology [Tokyo] [TITECH] | |
| dc.contributor.author | MIURA, Hideyuki | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PRANGE, Christophe | |
| dc.date.accessioned | 2024-04-04T02:32:09Z | |
| dc.date.available | 2024-04-04T02:32:09Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190358 | |
| dc.description.abstractEn | The purpose of this paper is to prove the existence of global in time local energy weak solutions to the Navier-Stokes equations in the half-space R3+. Such solutions are sometimes called Lemari´e-Rieusset solutions in the whole space R3. The main tool in our work is an explicit representation formula for the pressure, which is decomposed into a Helmholtz-Leray part and a harmonic part due to the boundary. We also explain how our result enables to reprove the blow-up of the scale-critical L3(R3+) norm obtained by Barker and Seregin for solutions developing a singularity in finite time. | |
| dc.description.sponsorship | Bords, oscillations et couches limites dans les systèmes différentiels - ANR-16-CE40-0027 | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Local energy weak solutions for the Navier-Stokes equations in the half-space | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00220-019-03344-4 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| dc.identifier.arxiv | 1711.04486 | |
| bordeaux.journal | Communications in Mathematical Physics | |
| bordeaux.page | 517–580 | |
| bordeaux.volume | 367 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01915527 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01915527v1 | |
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