HYDROSTATIC APPROXIMATION OF THE 2D MHD SYSTEM IN A THIN STRIP WITH A SMALL ANALYTIC DATA
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en
Document de travail - Pré-publication
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
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