Homogenization of the random Neumann sieve problem under minimal assumptions on the size of the perforations

Mert Baştuğ

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arXiv · 2512.14384

Homogenization of the random Neumann sieve problem under minimal assumptions on the size of the perforations

Mert Baştuğ

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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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Mert Baştuğ. 2025-12-16. Homogenization of the random Neumann sieve problem under minimal assumptions on the size of the perforations. https://arxiv.org/abs/2512.14384

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