Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations

DOI10.1007/s00526-023-02526-2zbMath1519.35018arXiv2210.09070OpenAlexW4382982517MaRDI QIDQ6169091

Florian Oschmann, Šarka Matušú-Nečasová

Publication date: 11 July 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.09070

zbMATH Keywords

two-dimensional perforated domain

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50) Compressible Navier-Stokes equations (76N06)

Related Items (2)

Γ–convergence for nearly incompressible fluids ⋮ Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent \(\gamma > 3\)

Cites Work

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• Homogenization of stationary Navier-Stokes equations in domains with tiny holes
• On the homogenization of the Stokes problem in a perforated domain
• Derivation of Darcy's law in randomly perforated domains
• Homogenization of the compressible Navier-Stokes equations in domains with very tiny holes
• Homogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domains
• Homogenization and low Mach number limit of compressible Navier-Stokes equations in critically perforated domains
• Homogenization of Stokes equations in perforated domains: a unified approach
• Homogenization of stationary Navier-Stokes-Fourier system in domains with 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
• Homogenisation for the Stokes equations in randomly perforated domains under almost minimal assumptions on the size of the holes
• Operator estimates for homogenization of the Robin Laplacian in a perforated domain
• Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• A decomposition technique for John domains
• Homogenization of the compressible Navier–Stokes equations in a porous medium
• Darcy’s law as low Mach and homogenization limit of a compressible fluid in perforated domains
• The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier–Stokes system
• Singular limits in thermodynamics of viscous fluids
• On the existence of globally defined weak solutions to the Navier-Stokes equations
• Homogenization problems for the compressible Navier–Stokes system in 2D perforated domains

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