On critical parameters in homogenization of perforated domains by thin tubes with nonlinear flux and related spectral problems

DOI10.1002/mma.3246zbMath1332.35025OpenAlexW1996260430MaRDI QIDQ3450328

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Publication date: 3 November 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3246

zbMATH Keywords

critical parameterseffective coefficients

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (8)

Homogenization of a variational inequality for the \(p\)-Laplacian in perforated media with nonlinear restrictions for the flux on the boundary of isoperimetric perforations: \(p\) equal to the dimension of the space ⋮ On Homogenization of Nonlinear Robin Type Boundary Conditions for the n-Laplacian in n-Dimensional Perforated Domains ⋮ Homogenization of the boundary value problem for the Laplace operator in a perforated domain with a rapidly oscillating nonhomogeneous Robin-type condition on the boundary of holes in the critical case ⋮ Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko's beam ⋮ Unilateral problems for thep-Laplace operator in perforated media involving large parameters ⋮ Homogenization of a boundary-value problem in a domain perforated by cavities of arbitrary shape with a general nonlinear boundary condition on their boundaries: the case of critical values of the parameters ⋮ Boundary homogenization in perforated domains for adsorption problems with an advection term ⋮ Multiscale Analysis of Nutrient Uptake by Plant Roots with Sparse Distribution of Root Hairs: Nonstandard Scaling

Cites Work

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• Homogenization of a quasilinear elliptic problem with nonlinear Robin boundary conditions
• Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1
• A diffusion equation through a highly heterogeneous medium
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• Boundary Layers in the Homogenization of a Spectral Problem in Fluid--Solid Structures
• Homogenization of High-Conductivity Periodic Problems: Application to a General Distribution of One-Directional Fibers
• Averaging of variational inequalities for the Laplacian with nonlinear restrictions along manifolds
• SPECTRAL PROPERTIES OF AN ELASTIC ROD-SPRING COUPLED SYSTEM IMMERSED IN A FLUID
• HOMOGENIZATION OF AN ELLIPTIC SECOND-ORDER PROBLEM WITH LlogL DATA IN A DOMAIN WITH OSCILLATING BOUNDARY

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