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Bibliographic Details
Main Authors: Albin, Nathan, Nesi, Vincenzo, Palombaro, Mariapia
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2512.16787
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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