Homogenization of the stochastic double-porosity model
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866913775927427072 |
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| author | Bonhomme, Elise Duerinckx, Mitia Gloria, Antoine |
| author_facet | Bonhomme, Elise Duerinckx, Mitia Gloria, Antoine |
| contents | This work is devoted to the homogenization of elliptic equations in high-contrast media in the so-called 'double-porosity' resonant regime, for which we solve two open problems of the literature. First, we prove qualitative stochastic homogenization under very weak conditions, which cover the case of inclusions that are not uniformly bounded or separated. Second, under stronger assumptions, we provide sharp error estimates for the two-scale expansion. The main difficulty is related to the loss of integrability of the control in the resonant zones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02847 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homogenization of the stochastic double-porosity model Bonhomme, Elise Duerinckx, Mitia Gloria, Antoine Analysis of PDEs Probability This work is devoted to the homogenization of elliptic equations in high-contrast media in the so-called 'double-porosity' resonant regime, for which we solve two open problems of the literature. First, we prove qualitative stochastic homogenization under very weak conditions, which cover the case of inclusions that are not uniformly bounded or separated. Second, under stronger assumptions, we provide sharp error estimates for the two-scale expansion. The main difficulty is related to the loss of integrability of the control in the resonant zones. |
| title | Homogenization of the stochastic double-porosity model |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2502.02847 |