GLOBAL EXISTENCE FOR NAVIER-STOKES SYSTEM WITH STRONG DISSIPATION IN ONE DIRECTION
| 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.accessioned | 2024-04-04T02:55:40Z | |
| dc.date.available | 2024-04-04T02:55:40Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 1674-7283 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192386 | |
| dc.description.abstractEn | We consider the 3D incompressible Navier-Stokes equations with different vis-cous coefficients in each variables. In particular, when one of this viscous coefficient is large enough compared to the initial data, we prove the global well-posedness of this problem. More generally, we obtain the existence of a global strong solution when the initial data verify an anisotropic smallness condition which take into account the different role of the horizontal and vertical viscosity. | |
| dc.language.iso | en | |
| dc.publisher | Science China Press | |
| dc.title.en | GLOBAL EXISTENCE FOR NAVIER-STOKES SYSTEM WITH STRONG DISSIPATION IN ONE DIRECTION | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s11425-018-9504-1 | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| bordeaux.journal | Science China Mathematics | |
| 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-02501796 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02501796v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Science%20China%20Mathematics&rft.date=2019&rft.eissn=1674-7283&rft.issn=1674-7283&rft.au=PAICU,%20Marius&ZHANG,%20Ping&rft.genre=article |
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