Averaging of dilute random media: a rigorous proof of the Clausius-Mossotti formula

DOI10.1007/s00205-012-0581-9zbMath1277.78027OpenAlexW2088424242MaRDI QIDQ1944730

Yaniv Almog

Publication date: 27 March 2013

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-012-0581-9

zbMATH Keywords

potential theoryrandom mediaClausius-Mossotti

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Composite media; random media in optics and electromagnetic theory (78A48)

Related Items (10)

Spectroscopic imaging of a dilute cell suspension ⋮ Smoothness of the diffusion coefficients for particle systems in continuous space ⋮ Homogenization of sound-soft and high-contrast acoustic metamaterials in subcritical regimes ⋮ The Clausius–Mossotti formula ⋮ First-order expansion of homogenized coefficients under Bernoulli perturbations ⋮ Efficient methods for the estimation of homogenized coefficients ⋮ Computing homogenized coefficientsviamultiscale representation and hierarchical hybrid grids ⋮ The Clausius--Mossotti Formula for Dilute Random Media of Perfectly Conducting Inclusions ⋮ The Clausius--Mossotti Formula in a Dilute Random Medium with Fixed Volume Fraction ⋮ Analyticity of homogenized coefficients under Bernoulli perturbations and the Clausius-Mossotti formulas

Cites Work

• Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
• Elliptic partial differential equations of second order
• Geometric aspects of averaging
• The Theory of Composites
• Generalized Clausius-Mossotti formula for random composite with circular fibers.
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