Homogenization of a stratified magnetic fluid problem with microinhomogeneous magnetic field and boundary data

We consider a planar magnetohydrodynamic boundary layer of a stratified fluid with microinhomogeneous magnetic field and boundary data. The asymptotic behavior of the solutions to the Prandtl equations is studied in the case of rapidly oscillating magnetic field and boundary data. The convergence of these solutions to the solution of the homogenized problem is established. Bibliography: 6 titles. Illustrations: 1 figure.