Homogenized model of diffusion in porous media with nonlinear absorption on the boundary

DOI10.1007/s11253-016-1158-9zbMath1379.35012OpenAlexW2307346439MaRDI QIDQ1684573

M. V. Goncharenko, L. A. Khil'kova

Publication date: 11 December 2017

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-016-1158-9

zbMATH Keywords

asymptotic expansionstationary diffusionhomogenized equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Operator estimates for homogenization of the Robin Laplacian in a perforated domain

Cites Work

• Non-homogeneous media and vibration theory
• An introduction to \(\Gamma\)-convergence
• Asymptotic approximations for solutions to quasilinear and linear parabolic problems with different perturbed boundary conditions in perforated domains
• Effective Chemical Processes in Porous Media
• Asymptotic analysis of a boundary-value problem with nonlinear multiphase boundary interactions in a perforated domain
• Asymptotic Analysis for a Stiff Variational Problem Arising in Mechanics
• The Periodic Unfolding Method in Homogenization
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