scientific article; zbMATH DE number 7689520

zbMath1515.35036arXiv2108.08533MaRDI QIDQ6041372

Wenjia Jing

Publication date: 26 May 2023

Full work available at URL: https://arxiv.org/abs/2108.08533

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

dilute suspensionsperiodic homogenizationperforated domainNeumann boundary value problemsperiodic layer potentials

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

On the Periodic Homogenization of Elliptic Equations in Nondivergence Form with Large Drifts

Cites Work

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• Spectroscopic imaging of a dilute cell suspension
• Homogenization of randomly deformed conductivity resistant membranes
• Convergence rates in \(L ^{2}\) for elliptic homogenization problems
• Polarization and moment tensors. With applications to inverse problems and effective medium theory
• Homogenization of elliptic problems with \(L^p\) boundary data
• Homogenization in open sets with holes
• Potential and scattering theory on wildly perturbed domains
• Boundary layers and homogenization of transport processes
• Derivation of the Batchelor-Green formula for random suspensions
• Derivation of Darcy's law in randomly perforated domains
• Compactness and large-scale regularity for Darcy's law
• Layer potentials for Lamé systems and homogenization of perforated elastic medium with clamped holes
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
• 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
• Homogenisation for the Stokes equations in randomly perforated domains under almost minimal assumptions on the size of the holes
• Homogenization in perforated domains and interior Lipschitz estimates
• Convergence rates for linear elasticity systems on perforated domains
• Non-homogeneous Neumann problems in domains with small holes
• L^p bounds on singular integrals in homogenization
• Effective viscosity properties of dilute suspensions of arbitrarily shaped particles
• A Unified Homogenization Approach for the Dirichlet Problem in Perforated Domains
• High Order Homogenization of the Stokes System in a Periodic Porous Medium
• A simple justification of effective models for conducting or fluid media with dilute spherical inclusions
• Homogenization of elliptic systems with Neumann boundary conditions
• Effective parameters of elastic composites
• Periodic Homogenization of Green and Neumann Functions
• Sharp convergence rates for Darcy’s law