Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace-Beltrami operator

DOI10.1007/s00526-020-01749-xzbMath1442.35019arXiv2001.07780OpenAlexW3025005426MaRDI QIDQ2189545

Roberto Gianni, Daniele Andreucci, Claudia Timofte, Micol Amar

Publication date: 16 June 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07780

zbMATH Keywords

homogenizationdimension reductionLaplace-Beltrami operatorpseudo-parabolic equationsunfolding operator

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (11)

Interface potential in composites with general imperfect transmission conditions ⋮ Heat conduction in composite media involving imperfect contact and perfectly conductive inclusions ⋮ Double layer concentration and homogenization for the heat diffusion in a composite material ⋮ Well-posedness of two pseudo-parabolic problems for electrical conduction in heterogeneous media ⋮ Homogenization of singular elliptic systems with nonlinear conditions on the interfaces ⋮ Homogenization of elliptic problems involving interfaces and singular data ⋮ Homogenization of a modified bidomain model involving imperfect transmission ⋮ Existence, uniqueness and concentration for a system of PDEs involving the Laplace-Beltrami operator ⋮ A degenerate pseudo-parabolic equation with memory ⋮ Existence and uniqueness for a two-scale system involving tangential operators ⋮ Upscaling of a double porosity problem with jumps in thin porous media

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