Homogenization of boundary layer of pseudo-plastic fluid in the presence of rapidly oscillating external forces |
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Authors: | M S Romanov |
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Affiliation: | 1.Moscow State University,Moscow,Russia |
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Abstract: | In this paper, we study the homogenization problem for equations of magnetohydrodynamic boundary layer of pseudo-plastic fluid.
It is assumed that the external flow velocity and the external magnetic field are described by oscillating functions and the
frequency depends on a small parameter. In von Mises variables and in Cartesian variables, we construct the homogenized problem,
establish strong convergence of solutions in a special norm, and estimate the rate of this convergence. We show that in von
Mises variables the convergence rates in different norms are of different orders of smallness. |
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Keywords: | |
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