The one-dimensional displacement in an isothermal viscous compressible fluid with a nonmonotone equation of state
type: Item
instance of: scholarly article
title: The one-dimensional displacement in an isothermal viscous compressible fluid with a nonmonotone equation of state
zbMATH Open document ID: 0731.76061
published in: Rocky Mountain Journal of Mathematics
publication date: 1991-01-01T00:00:00Z
review text: The purpose of this paper is to develop existence and uniqueness theorems for global weak solutions involving one-dimensional displacements of isothermal viscous compressible fluids with a monotone equation of state. In particular, the well posedness of the problem is considered when in the limit the coefficient of viscosity vanishes as the specific volume tends to infinity, and the initial data are rough.
reviewed by: Alan Jeffrey
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 4209824
zbMATH Keywords: global weak solutions
zbMATH Keywords: isothermal viscous compressible fluids
zbMATH Keywords: monotone equation of state
author: K. L. Kuttler
author: Darrell L. Hicks
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072960
OpenAlex ID: W2085601541
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DOI: 10.1216/RMJM/1181072960
description: scientific article; zbMATH DE number 4209824