Homogenization of stationary Navier-Stokes-Fourier system in domains with tiny holes

DOI10.1016/j.jde.2020.10.032zbMath1458.35043arXiv2001.06950OpenAlexW3102158366MaRDI QIDQ2223614

Yong Lu, Milan Pokorný

Publication date: 29 January 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06950

zbMATH Keywords

perforated domainscompressible Navier-Stokes-Fourier systemsmall holes

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

Homogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domains ⋮ Homogenization of the steady-state Navier-Stokes equations with prescribed flux rate or pressure drop in a perforated pipe ⋮ Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent \(\gamma > 3\) ⋮ Homogenization problems for the compressible Navier–Stokes system in 2D perforated domains ⋮ Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations ⋮ Homogenization of the evolutionary compressible Navier-Stokes-Fourier system in domains with tiny holes ⋮ Darcy’s law as low Mach and homogenization limit of a compressible fluid in perforated domains

Cites Work

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• Steady compressible Navier-Stokes-Fourier system for monoatomic gas and its generalizations
• Homogenization of stationary Navier-Stokes equations in domains with tiny holes
• Ordinary differential equations, transport theory and Sobolev spaces
• Homogenization and singular limits for the complete Navier-Stokes-Fourier system
• Homogenization in open sets with holes
• 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
• Uniform estimates for Stokes equations in a domain with a small hole and applications in homogenization problems
• 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
• Non-homogeneous Neumann problems in domains with small holes
• Homogenization of the compressible Navier–Stokes equations in a porous medium
• 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

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