Sharp Pressure Estimates for the Navier–Stokes System in Thin Porous Media

Abstract

A relevant problem for applications is to model the behavior of Newtonian fluids through thin porous media, which is a domain with small thickness and perforated by periodically distributed cylinders of size and period δ , with δ > 0. Depending on the relation between thickness and the size of the cylinders, it was introduced in (Fabricius et al., Transp.