Sharp convergence rates for Darcy’s law

This article is concerned with Darcy’s law for an incompressible viscous fluid flowing in a porous medium. We establish the sharp O(ε) convergence rate periodically perforated and bounded domain Rd d≥2, where ε represents size of solid obstacles. achieved by constructing two boundary layer correctors to control layers created incompressibility condition discrepancy values between solution leading term its asymptotic expansion. One deals tangential data, while other handles normal data.