On a decay rate for 1D-viscous compressible barotropic fluid equations.
type: Item
instance of: scholarly article
title: On a decay rate for 1D-viscous compressible barotropic fluid equations.
zbMATH Open document ID: 1038.35065
author: I. Straškraba
author: Alexander Zlotnik
published in: Journal of Evolution Equations
publication date: 2002-09-09T00:00:00Z
review text: The authors study the long time behaviour of solutions to the Navier-Stokes system describing the motion of a viscous, barotropic flow in one space dimension. They show that each solution decays exponentially to a static solution provided an external force is imposed so that this (static) solution is strictly positive. One of the main (nontrivial) ingredients of the proof is a lower bound on the density field uniform in time. The results are shown for the system written in the Eulerian coordinates and for a wide class of the pressure-density state equations including the isentropic case.
reviewed by: Eduard Feireisl
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 1757488
zbMATH Keywords: compressible fluid
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: asymptotic behaviour
MaRDI profile type: Publication
full work available at URL: s00028-002-8080-3
OpenAlex ID: W2072742398
DOI: 10.1007/S00028-002-8080-3
description: scientific article; zbMATH DE number 1757488