The Clausius--Mossotti Formula for Dilute Random Media of Perfectly Conducting Inclusions

DOI10.1137/16M1080306zbMath1368.74047arXiv1606.07765MaRDI QIDQ4975433

Yaniv Almog

Publication date: 7 August 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07765

zbMATH Keywords

randomhomogenizationClausius-Mossottidiluteperfect conductors

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) PDEs with randomness, stochastic partial differential equations (35R60)

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Cites Work

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• Analyticity of homogenized coefficients under Bernoulli perturbations and the Clausius-Mossotti formulas
• Averaging of dilute random media: a rigorous proof of the Clausius-Mossotti formula
• Derivation of a homogenized two-temperature model from the heat equation
• Geometric aspects of averaging
• The Clausius--Mossotti Formula in a Dilute Random Medium with Fixed Volume Fraction