Homogenization of the random Neumann sieve problem under minimal assumptions on the size of the perforations
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911322790166528 |
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| author | Baştuğ, Mert |
| author_facet | Baştuğ, Mert |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14384 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homogenization of the random Neumann sieve problem under minimal assumptions on the size of the perforations Baştuğ, Mert Analysis of PDEs 35B27, 35J05, 49J45, 60G55 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. |
| title | Homogenization of the random Neumann sieve problem under minimal assumptions on the size of the perforations |
| topic | Analysis of PDEs 35B27, 35J05, 49J45, 60G55 |
| url | https://arxiv.org/abs/2512.14384 |