Homogenization in perforated domains: a Stokes grill and an adsorption process

DOI10.1080/00036811.2017.1395863zbMath1402.35032OpenAlexW2765872672MaRDI QIDQ4559424

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Publication date: 3 December 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1395863

zbMATH Keywords

asymptotic expansionsStokes problemnonlinear problemsboundary homogenizationextended capacity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Cites Work

• Homogenization problem in a domain perforated by tiny isoperimetric holes with nonlinear Robin type boundary conditions
• Averaging of boundary-value problem in domain perforated along \((n - 1)\)-dimensional manifold with nonlinear third type boundary conditions on the boundary of cavities
• Homogenization of partial differential equations. Translated from the original Russian by M. Goncharenko and D. Shepelsky
• Étude d'un fluide traversant une paroi perforée. I: Comportement limite près de la paroi. (Study of a fluid crossing a perforated sieve. I: Limit behavior near the sieve)
• Étude d'un fluide traversant une paroi perforée. II: Comportement limite loin de la paroi. (Study of a fluid crossing a perforated sieve. II: Limit behavior far off the sieve)
• Acoustic fluid flow through holes and permeability of perforated walls
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes
• Homogenization and porous media
• Problèmes unilateraux
• Boundary homogenization in perforated domains for adsorption problems with an advection term
• Homogénéisation de frontières par épi-convergence en élasticité linéaire
• Polarization matrices in anisotropic heterogeneous elasticity
• Boundary-value problems for partial differential equations in non-smooth domains
• Asymptotic behaviour of an elastic body with a surface having small stuck regions
• The Poisson Equation with Nonautonomous Semilinear Boundary Conditions in Domains with Many Time Holes
• ON VIBRATIONS OF A BODY WITH MANY CONCENTRATED MASSES NEAR THE BOUNDARY
• Unilateral problems for thep-Laplace operator in perforated media involving large parameters
• Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
• On homogenization of nonlinear Robin type boundary conditions for cavities along manifolds and associated spectral problems
• Averaging of variational inequalities for the Laplacian with nonlinear restrictions along manifolds
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