Homogenization with Small Perforations of Increasingly Complicated Shapes

DOI10.1137/0522040zbMath0762.35025OpenAlexW2006296043MaRDI QIDQ3978296

Patrizia Donato, Alain Damlamian

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1137/0522040

zbMATH Keywords

holescracksfractal setsPoisson problemlimit problemhomogeneous Dirichlet conditionperforated domainssmall and periodically distributed inclusions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fracture and damage (74R99) Degenerate elliptic equations (35J70) PDEs with low regular coefficients and/or low regular data (35R05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (8)

Homogenization of the heat equation for a domain with a network of pipes with a well-mixed fluid ⋮ On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems ⋮ Periodic homogenization for quasi-filling fractal layers ⋮ On the effective interfacial resistance through quasi-filling fractal layers ⋮ Diffusion in a highly rarefied binary structure of general periodic shape ⋮ Asymptotic heat equation for crossing superconductive thin walls ⋮ Homogenization of the Poisson equation in a porous medium with double periodicity ⋮ Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?

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