High-Contrast Random Composites: Homogenisation Framework and Spectral Convergence

Mikhail Cherdantsev, Kirill Cherednichenko, Igor Velčić · 2026

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Description

Cherdantsev, Cherednichenko, and Velcic build a homogenisation framework for high contrast random composites in a 2026 maths paper. Such materials mix stiff and soft parts at random, and their large scale traits emerge from that mix. The authors study elliptic operators with random, high contrast coefficients, and the spectrum of the homogenised limit operator. Unlike the periodic case, the limit of the spectra differs from that spectrum. A new idea, the limiting spectrum, sets out how the two sets relate.

Catalog record

CREATORMikhail Cherdantsev, Kirill Cherednichenko, Igor Velčić
YEAR2026
COLLECTIONPAPERS
FORMATTXT
FILE SIZE151 KB
VERSION1.0
LICENSECC BY 4.0
RIGHTSCC BY
SOURCEEurope PMC

Source: https://europepmc.org/articles/PMC13135593

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