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GLOBAL WELL-POSEDNESS OF 3-D ANISOTROPIC NAVIER-STOKES SYSTEM WITH SMALL UNIDIRECTIONAL DERIVATIVE
| dc.contributor.author | LIU, Yanlin | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PAICU, Marius | |
| hal.structure.identifier | Académie Chinoise des Sciences | |
| dc.contributor.author | ZHANG, Ping | |
| dc.date | 2020 | |
| dc.date.accessioned | 2024-04-04T02:55:40Z | |
| dc.date.available | 2024-04-04T02:55:40Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 0003-9527 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192387 | |
| dc.description.abstractEn | In [15], the authors proved that as long as the one-directional derivative of the initial velocity is sufficiently small in some scaling invariant spaces, then the classical Navier-Stokes system has a global unique solution. The goal of this paper is to extend this type of result to the 3-D anisotropic Navier-Stokes system (AN S) with only horizontal dissipation. More precisely, given initial data u0 = (u h 0 , u 3 0) ∈ B 0, 1 2 , (AN S) has a unique global solution provided that |D h | −1 ∂3u0 is sufficiently small in the scaling invariant space B 0, 1 2 . | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | Anisotropic Navier-Stokes system | |
| dc.subject.en | well-posedness | |
| dc.subject.en | Littlewood-Paley theory | |
| dc.title.en | GLOBAL WELL-POSEDNESS OF 3-D ANISOTROPIC NAVIER-STOKES SYSTEM WITH SMALL UNIDIRECTIONAL DERIVATIVE | |
| dc.type | Article de revue | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| bordeaux.journal | Archive for Rational Mechanics and Analysis | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02501795 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02501795v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Archive%20for%20Rational%20Mechanics%20and%20Analysis&rft.date=2020&rft.eissn=0003-9527&rft.issn=0003-9527&rft.au=LIU,%20Yanlin&PAICU,%20Marius&ZHANG,%20Ping&rft.genre=article |
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