On the macroscopic description of slow viscous flow past a random array of spheres
We give rigorous derivation of Brinkman's equation as the effective equation for slow viscous flow in porous media with high porosity. The medium is composed of spherical obstacles distributed randomly, and the microscopic flow is described by the Stokes equation. Along the road we give \(W^ 1_ 2\) convergence estimates for the point-sources approximation.
rigorous derivation of Brinkman's equation
scientific article; zbMATH DE number 4025063