A Unified Homogenization Approach for the Dirichlet Problem in Perforated Domains

DOI10.1137/19M1255525zbMath1437.35043arXiv1901.08251OpenAlexW3100132128MaRDI QIDQ4959842

Wenjia Jing

Publication date: 7 April 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08251

zbMATH Keywords

Newtonian capacityperiodic homogenizationlarge box limitadaptive oscillating test function methodstrange term coming from nowhere

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Green's functions for elliptic equations (35J08)

Related Items (14)

High Order Topological Asymptotics: Reconciling Layer Potentials and Compound Asymptotic Expansions ⋮ Homogenization of the Stokes System in a Non-Periodically Perforated Domain ⋮ Convergence rates for linear elasticity systems on perforated domains ⋮ High Order Homogenized Stokes Models Capture all Three Regimes ⋮ Uniform \(W^{1,p}\) estimates and large-scale regularity for Dirichlet problems in perforated domains ⋮ Homogenization of evolutionary incompressible Navier-Stokes system in perforated domains ⋮ Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains ⋮ Uniform estimates for Dirichlet problems in perforated domains ⋮ Homogenization of Stokes equations in perforated domains: a unified approach ⋮ Unnamed Item ⋮ Layer potentials for Lamé systems and homogenization of perforated elastic medium with clamped holes ⋮ Convergence rates for the homogenization of the Poisson problem in randomly perforated domains ⋮ High Order Homogenization of the Stokes System in a Periodic Porous Medium ⋮ Sharp convergence rates for Darcy’s law

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