On the incompressible limit of a strongly stratified heat conducting fluid

DOI10.1007/s00021-023-00791-xzbMath1520.76074arXiv2212.10902MaRDI QIDQ6156890

Edriss S. Titi, Danica Basarić, Eduard Feireisl, Peter Bella, Florian Oschmann

Publication date: 19 June 2023

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

Full work available at URL: https://arxiv.org/abs/2212.10902

zbMATH Keywords

weak solutionglobal existencestrong solutionstratified fluidNavier-Stokes-Fourier systemMajda model

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Compressible Navier-Stokes equations (76N06)

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Cites Work

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• On oscillatory solutions to the complete Euler system
• Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
• Rigorous derivation of the anelastic approximation
• Solution “in the large” of the nonstationary boundary value problem for the Navier-Stokes system with two space variables
• Notes on the third law of thermodynamics: I
• Mathematics of Open Fluid Systems
• Navier–Stokes–Fourier system with Dirichlet boundary conditions
• Competition and bistability of ordered undulations and undulation chaos in inclined layer convection
• Anelastic Approximation as a Singular Limit of the Compressible Navier–Stokes System
• Singular limits in thermodynamics of viscous fluids
• Asymptotic adaptive methods for multi-scale problems in fluid mechanics

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