Abstract
A study is made of a stationary Stokes's system in a periodically perforated domain with boundary conditions of mixed type, which describes the motion of a viscous incompressible fluid in a porous medium in the presence of friction between the fluid and the walls of the pores. The relation between the leading terms of the asymptotic expansions with respect to for the fluid velocity and the pressure is obtained, where is the parameter characterizing the fineness of the porous structure.
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