Homogenization of Stokes equations in perforated domains: a unified approach

DOI10.1007/s00021-020-00506-6zbMath1447.35032arXiv1908.08259OpenAlexW3081552335MaRDI QIDQ2199723

Yong Lu

Publication date: 14 September 2020

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.08259

zbMATH Keywords

generalized cell problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (11)

Homogenization of the Stokes System in a Non-Periodically Perforated Domain ⋮ Homogenization of Stationary Navier-Stokes Equations in Domains with 3 Kinds of Typical Holes ⋮ Homogenization of the steady-state Navier-Stokes equations with prescribed flux rate or pressure drop in a perforated pipe ⋮ High Order Homogenized Stokes Models Capture all Three Regimes ⋮ Homogenization of evolutionary incompressible Navier-Stokes system in perforated domains ⋮ Reduction methods in climate dynamics -- a brief review ⋮ Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains ⋮ Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations ⋮ Uniform estimates for Dirichlet problems in perforated domains ⋮ High Order Homogenization of the Stokes System in a Periodic Porous Medium ⋮ Sharp convergence rates for Darcy’s law

Cites Work

• Unnamed Item
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• On uniform estimates for Laplace equation in balls with small holes
• Homogenization of stationary Navier-Stokes equations in domains with tiny holes
• Homogenization and singular limits for the complete Navier-Stokes-Fourier system
• Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary
• Homogenization of the compressible Navier-Stokes equations in domains with very tiny 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
• Homogenization of the evolutionary Navier-Stokes system
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Homogenization of the compressible Navier–Stokes equations in a porous medium
• A Unified Homogenization Approach for the Dirichlet Problem in Perforated Domains
• The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier–Stokes system

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