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In this paper, we consider the Stokes equations in a perforated domain. Whenthe number of holes increases while their radius tends to 0, it is proven in[L. Desvillettes, F. Golse and V. Ricci. The mean field limit for solidparticles in a Navier-Stokes flow. J. Stat. Phys. 131: 941-967, 2008], undersuitable dilution assumptions, that the solution is well-approximatedasymptotically by solving a Stokes-Brinkman equation. We provide herequantitative estimates in L p-norms of this convergence.

Lp estimates for the homogenization of stokes problem in a perforated domain