Perturbation analysis of the effective conductivity of a periodic composite

DOI10.3934/nhm.2020015zbMath1451.74066OpenAlexW3041477294MaRDI QIDQ828475

Paolo Musolino, Paolo Luzzini

Publication date: 8 January 2021

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2020015

zbMATH Keywords

integral equationstransmission problemshape analysiseffective conductivityperiodic compositeperturbed domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Contact in solid mechanics (74M15) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Composite and mixture properties (74E30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Linear integral equations (45A05)

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Shape analyticity and singular perturbations for layer potential operators ⋮ Existence results for a nonlinear nonautonomous transmission problem via domain perturbation ⋮ Windows washing method of multiscale analysis of the in-situ nano-composites ⋮ Multi-parameter analysis of the obstacle scattering problem ⋮ Analytical evaluation of the effective electric resistivity and Hall coefficient in the rectangular and triangular checkerboard composites ⋮ The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation

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