Abstract
We analyze the behavior of weak solutions to compressible viscous fluid flows in a bounded domain in {{,mathrm{{mathbb {R}}},}}^3, randomly perforated by tiny balls with random size. Assuming the radii of the balls scale like varepsilon ^alpha , alpha > 3, with varepsilon denoting the average distance between the balls, the problem homogenize to the same limiting equation. Our main contribution is a construction of the Bogovskiĭ operator, uniformly in varepsilon , without any assumptions on the minimal distance between the balls.
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