Global well-posedness for 3D Navier-Stokes equations with ill-prepared initial data
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PAICU, Marius | |
| hal.structure.identifier | School of Mathematical Sciences, Peking University, 100871, P. R. China | |
| dc.contributor.author | ZHANG, Zhifei | |
| dc.date.accessioned | 2024-04-04T02:17:28Z | |
| dc.date.available | 2024-04-04T02:17:28Z | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 1474-7480 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189230 | |
| dc.description.abstractEn | We study the global well-posedness of 3D Navier-Stokes equations for a class of large initial data. This type of data slowly varies in the vertical direction (expressed as a function of $\epsilon x_3$), and it is ill-prepared in the sense that its norm in $C^{-1}$ will blow up at the rate $\epsilon^{-\alpha}$ for $1/2<\alpha<1$ as $\epsilon$ tends to zero. | |
| dc.language.iso | en | |
| dc.publisher | Cambridge University Press (CUP) | |
| dc.title.en | Global well-posedness for 3D Navier-Stokes equations with ill-prepared initial data | |
| dc.type | Article de revue | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Journal of the Institute of Mathematics of Jussieu | |
| bordeaux.page | pp 395-411 | |
| bordeaux.volume | Volume 13 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | no. 2. | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00994611 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00994611v1 | |
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