Global Solutions to 2-D Inhomogeneous Navier-Stokes System with General Velocity
| hal.structure.identifier | Academy of Mathematics and Systems Science [AMSS] | |
| dc.contributor.author | HUANG, Jingchi | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PAICU, Marius | |
| hal.structure.identifier | Academy of Mathematics and Systems Science [AMSS] | |
| dc.contributor.author | ZHANG, Ping | |
| dc.date.accessioned | 2024-04-04T02:23:34Z | |
| dc.date.available | 2024-04-04T02:23:34Z | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 0021-7824 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189747 | |
| dc.description.abstractEn | In this paper, we are concerned with the global wellposedness of 2-D density-dependent incompressible Navier-Stokes equations with variable viscosity, in a critical functional frame- work which is invariant by the scaling of the equations and under a non-linear smallness condition on fluctuation of the initial density which has to be doubly exponential small compared with the size of the initial velocity. In the second part of the paper, we apply our methods combined with the techniques of R. Danchin and P. B. Mucha to prove the global existence of solutions to inhomogeneous Navier-Stokes system with piecewise constant initial density which has small jump at the interface and is away from vacuum. In particular, this latter result removes the smallness condition for the initial velocity in a corresponding theorem of R. Danchin and P. B. Mucha. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Inhomogeneous Navier-Stokes Equations | |
| dc.subject.en | Littlewood-Paley Theory | |
| dc.subject.en | Wellposedness | |
| dc.title.en | Global Solutions to 2-D Inhomogeneous Navier-Stokes System with General Velocity | |
| 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.identifier.arxiv | 1212.3916 | |
| bordeaux.journal | Journal de Mathématiques Pures et Appliquées | |
| bordeaux.page | 806-831 | |
| bordeaux.volume | 100 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 6 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00765696 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00765696v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20de%20Math%C3%A9matiques%20Pures%20et%20Appliqu%C3%A9es&rft.date=2013&rft.volume=100&rft.issue=6&rft.spage=806-831&rft.epage=806-831&rft.eissn=0021-7824&rft.issn=0021-7824&rft.au=HUANG,%20Jingchi&PAICU,%20Marius&ZHANG,%20Ping&rft.genre=article |
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