HYDROSTATIC APPROXIMATION OF THE 2D MHD SYSTEM IN A THIN STRIP WITH A SMALL ANALYTIC DATA
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | AARACH, Nacer | |
dc.date.accessioned | 2024-04-04T02:48:54Z | |
dc.date.available | 2024-04-04T02:48:54Z | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191779 | |
dc.description.abstractEn | In this paper, we study the global well-posedness of the two dimensional rescaled anisotropic MHD system and also to the hydrostatic MHD with no slip boundary condition in a strip, for small initial data, which are analytic in the horizontal variable. We also justify the limit of the MHD system (when → 0 where denotes the height of the initial strip) is given by a couple of a Prandtl like system for the velocity and a magnetic field equation when the initial data are small and analytic. | |
dc.language.iso | en | |
dc.title.en | HYDROSTATIC APPROXIMATION OF THE 2D MHD SYSTEM IN A THIN STRIP WITH A SMALL ANALYTIC DATA | |
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-02994616 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-02994616v1 | |
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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