HYDROSTATIC APPROXIMATION OF THE 2D MHD SYSTEM IN A THIN STRIP WITH A SMALL ANALYTIC DATA
Language
en
Document de travail - Pré-publication
English Abstract
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 ...Read more >
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.Read less <
Origin
Hal imported