Stability under lamination and polycrystalline effective conductivity
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915684866326528 |
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| author | Albin, Nathan Nesi, Vincenzo Palombaro, Mariapia |
| author_facet | Albin, Nathan Nesi, Vincenzo Palombaro, Mariapia |
| contents | We prove the stability under lamination of a set of real, symmetric 3$\times$3 matrices that can be viewed as a subset of the effective conductivities of a polycrystal. Constructed in a companion paper, such set in combination with several previous constructions provides the best inner bound known so far on the $G$-closure of a three dimensional polycrystal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16787 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability under lamination and polycrystalline effective conductivity Albin, Nathan Nesi, Vincenzo Palombaro, Mariapia Analysis of PDEs 35B27, 49J45 We prove the stability under lamination of a set of real, symmetric 3$\times$3 matrices that can be viewed as a subset of the effective conductivities of a polycrystal. Constructed in a companion paper, such set in combination with several previous constructions provides the best inner bound known so far on the $G$-closure of a three dimensional polycrystal. |
| title | Stability under lamination and polycrystalline effective conductivity |
| topic | Analysis of PDEs 35B27, 49J45 |
| url | https://arxiv.org/abs/2512.16787 |