Homogenization of the evolutionary compressible Navier-Stokes-Fourier system in domains with tiny holes

DOI10.1007/s41808-021-00124-xzbMath1491.76061OpenAlexW3204900947MaRDI QIDQ2061633

Emil Skříšovský, Milan Pokorný

Publication date: 16 December 2021

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-021-00124-x

zbMATH Keywords

entropy inequalityhomogenizationevolutionary compressible Navier-Stokes-Fourier system

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

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

Cites Work

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• Weak solutions for steady compressible Navier-Stokes-Fourier system in two space dimensions.
• Homogenization and singular limits for the complete Navier-Stokes-Fourier system
• Homogenization in open sets with holes
• Non-homogeneous media and vibration theory
• 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 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
• Homogenization of the evolutionary Navier-Stokes system
• Non-homogeneous Neumann problems in domains with small holes
• On Commutators of Singular Integrals and Bilinear Singular Integrals
• 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