Compressible Navier-Stokes system with hard sphere pressure law and general inflow-outflow boundary conditions
type: Item
instance of: scholarly article
title: Compressible Navier-Stokes system with hard sphere pressure law and general inflow-outflow boundary conditions
zbMATH Open document ID: 1414.35146
author: Peng Zhang
published in: Journal of Differential Equations
publication date: 2019-01-22T00:00:00Z
review text: In this very interesting paper under review, the authors prove the existence of a weak solution to the compressible Navier-Stokes system with hard sphere possibly non-monotone pressure law involving, in particular, the Carnahan-Starling model largely employed in various physical and industrial applications. The authors take into account large velocities prescribed at the boundary of a bounded piecewise $C^2$ domain and large densities prescribed at the inflow boundary without any restriction neither on the shape of the inflow/outflow boundaries nor on the shape of the domain.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 7005194
zbMATH Keywords: compressible Navier-Stokes system
zbMATH Keywords: inhomogeneous boundary conditions
zbMATH Keywords: weak solutions
zbMATH Keywords: renormalized continuity equation
zbMATH Keywords: large inflow-outflow
zbMATH Keywords: hard sphere pressure law
reviewed by: M. M. Cavalcanti
MaRDI profile type: Publication
full work available at URL: j.jde.2018.08.049
OpenAlex ID: W2890901893
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Wikidata QID: Q129298218
DOI: 10.1016/J.JDE.2018.08.049
description: scientific article; zbMATH DE number 7005194