Convergence Rates and Fluctuations for the Stokes–Brinkman Equations as Homogenization Limit in Perforated Domains
We study the homogenization of the Dirichlet problem for the Stokes equations in R3 perforated by m spherical particles. We assume the positions and velocities of the particles to be identically and independently distributed random variables. In the critical regime, when the radii of the particles are of order m-1, the homogenization limit u is given as the solution to the Brinkman equations. We p