Homogenization in perforated domains beyond the periodic setting.

DOI10.1016/j.jmaa.2003.08.045zbMath1037.35020OpenAlexW2046418956MaRDI QIDQ1425138

Gabriel Nguetseng

Publication date: 15 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.08.045

zbMATH Keywords

periodicityalmost periodicityhomogenization algebrashomogenization structures

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Stochastic homogenization and random lattices ⋮ Incompressible viscous Newtonian flow in a fissured medium of general deterministic type ⋮ Homogenization of Richards' equations in multiscale porous media with soft inclusions ⋮ Aperiodic fractional obstacle problems ⋮ Homogenization of Steklov spectral problems with indefinite density function in perforated domains ⋮ Two-scale convergence of Stekloff eigenvalue problems in perforated domains ⋮ On periodic homogenization in perfect elasto-plasticity ⋮ Homogenization of nonlinear degenerate non-monotone elliptic operators in domains perforated with tiny holes ⋮ \(\Sigma \)-convergence of nonlinear monotone operators in perforated domains with holes of small size. ⋮ Nonlocal problems in perforated domains ⋮ Asymptotic behaviour of viscoelastic composites with almost periodic microstructures ⋮ Multiscale nonlocal flow in a fractured porous medium ⋮ Homogenization of the Poisson equation in a non-periodically perforated domain

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