Submitted Paper

Inserted: 28 apr 2025
Last Updated: 20 apr 2026

Year: 2025

Abstract:

We study the limit behavior of the solutions to the Neumann sieve problem for the Poisson equation when the sieve-holes are randomly distributed according to a stationary marked point process. We determine the optimal stochastic integrability for the random radii of the perforations for which stochastic homogenization takes place despite the presence of clustering holes.

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• Neumann's sieve.pdf