Large-time behavior for compressible Navier-Stokes-Fourier system in the whole space
type: Item
instance of: scholarly article
title: Large-time behavior for compressible Navier-Stokes-Fourier system in the whole space
zbMATH Open document ID: 1486.76068
author: Lingbing He
author: Jingchi Huang
author: Chao Wang
published in: Journal of Mathematical Fluid Mechanics
publication date: 2022-03-14T00:00:00Z
review text: The authors study the Navier-Stokes-Fourier system in \(\mathbb{R}^3\). The system describes the flow of a compressible viscous heat-conducting gas. The gas is perfect: the pressure \(P=\rho T\) is linear with respect to both the density \(\rho\) and the temperature \(T\), and the energy \(E=T+\frac12 u^2\). The authors aim at investigating the long-time behavior and global stability of solutions. The global regularity is proved together with some estimates, and convergence to equilibrium (and rate of this convergence) is established. The initial data need not be small in any sense.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76N06
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35Q79
zbMATH DE Number: 7488940
zbMATH Keywords: Navier-Stokes-Fourier system
zbMATH Keywords: regularity
zbMATH Keywords: perfect heat-conducting gas
zbMATH Keywords: global stability
zbMATH Keywords: convergence to equilibrium
zbMATH Keywords: optimal decay rate
MaRDI profile type: Publication
full work available at URL: s00021-022-00673-8
OpenAlex ID: W4214830871
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DOI: 10.1007/S00021-022-00673-8
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description: scientific article; zbMATH DE number 7488940