Derivation of Stokes-plate-equations modeling fluid flow interaction with thin porous elastic layers

In this paper we investigate the interaction of fluid flow with a thin porous elastic layer. We consider two fluid-filled bulk domains which are separated by periodically perforated layer consisting and an solid part. Thickness periodicity order ϵ, where ϵ is small compared to size domains. The described instationary Stokes equation via linear elasticity. main contribution rigorous homogenization structure in reduction interface Σ limit ϵ→0 using two-scale convergence. effective model consists coupled time-dependent plate on including homogenized elasticity coefficients carrying information about micro zeroth-order approximation obtain continuity velocities at interface, only vertical movement occurs tangential components vanish. given as Kirchhoff-Love displacement. Additionally, derive higher-order correctors for