Two timescales asymptotes of the weakly compressible Stokes system
type: Item
instance of: scholarly article
title: Two timescales asymptotes of the weakly compressible Stokes system
zbMATH Open document ID: 1391.35337
author: Teng-Fei Zhang
author: Ning Jiang
published in: Journal of Differential Equations
publication date: 2017-11-14T00:00:00Z
review text: This paper is concerned with the study of an asymptotic study of the weakly compressible Stokes (WCS) system, which is a linearization of the compressible Navier-Stokes-Fourier system about the homogeneous state. Using the standard Arzelà-Ascoli Theorem, a proof of the strong convergence to the acoustic system in the periodic domain is given; the filtering method is applied to prove the incompressible Stokes limit in periodic domain. The paper ends with the construction of a viscous-thermal boundary layer and to give a strong convergence of the Stokes limit with Dirichlet boundary condition.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 6806991
zbMATH Keywords: weakly compressible Stokes system
zbMATH Keywords: acoustic system
zbMATH Keywords: incompressible Stokes system
zbMATH Keywords: fast oscillation
zbMATH Keywords: boundary layer
MaRDI profile type: Publication
full work available at URL: j.jde.2017.10.013
OpenAlex ID: W2766338182
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DOI: 10.1016/J.JDE.2017.10.013
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description: scientific article; zbMATH DE number 6806991