GLOBAL WELL-POSEDNESS OF 2D HYPERBOLIC PERTURBATION OF THE NAVIER-STOKES SYSTEM IN A THIN STRIP
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | AARACH, Nacer | |
| dc.date.accessioned | 2024-04-04T02:43:55Z | |
| dc.date.available | 2024-04-04T02:43:55Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191365 | |
| dc.description.abstractEn | In this paper we will study the global well-posedness of the two dimensional anisotropic Hyperbolic perturbation of the Navier-Stokes system with non slip boundary condition in a thin strip domain, for a small initial data, which this data is analytic in the tangential variable. The main idea of the proof is motivated by the paper of [31, 43]. The additional difficulties is the appearance of the term ∂ 2 t , we will use this term will help us to control the nonlinear part of the hyperbolic system. | |
| dc.language.iso | en | |
| dc.subject.en | 2010 Mathematics Subject Classification. 35Q30 | |
| dc.subject.en | 76D03 Hyperbolic Perturbation Of NS | |
| dc.subject.en | Littlewood-Paley theory | |
| dc.subject.en | Well-posedness | |
| dc.title.en | GLOBAL WELL-POSEDNESS OF 2D HYPERBOLIC PERTURBATION OF THE NAVIER-STOKES SYSTEM IN A THIN STRIP | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03298757 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03298757v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=AARACH,%20Nacer&rft.genre=preprint |
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