On the effective interfacial resistance through rough surfaces

DOI10.3934/cpaa.2010.9.1295zbMath1207.35047OpenAlexW2003125335MaRDI QIDQ609048

Donato Patrizia, Andrey L. Piatnitski

Publication date: 30 November 2010

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2010.9.1295

zbMATH Keywords

homogeneous Dirichlet boundary conditionsinterface conditionstransmission conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (9)

Upscaling the interplay between diffusion and polynomial drifts through a composite thin strip with periodic microstructure ⋮ Periodic homogenization for quasi-filling fractal layers ⋮ Homogenization of an eigenvalue problem through rough surfaces ⋮ On the effective interfacial resistance through quasi-filling fractal layers ⋮ Homogenization of a semilinear elliptic problem in a thin composite domain with an imperfect interface ⋮ Homogenization of a class of singular elliptic problems in perforated domains ⋮ Derivation of effective transmission conditions for domains separated by a membrane for different scaling of membrane diffusivity ⋮ Homogenization of the brush problem with a source term in \(L^{1}\) ⋮ Existence and Homogenization for a Singular Problem Through Rough Surfaces

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