On equations for one-dimensional motion of a viscous barotropic gas in the presence of a body force
type: Item
instance of: scholarly article
title: On equations for one-dimensional motion of a viscous barotropic gas in the presence of a body force
zbMATH Open document ID: 0811.76075
DOI: 10.1007/BF00970988
published in: Siberian Mathematical Journal
publication date: 1993-03-28T00:00:00Z
review text: The author establishes uniform estimates for a solution on the whole time interval \(t \geq 0\) and stabilization of a solution as \(t \to + \infty\). Necessary and sufficient conditions for the solvability of the stationary problem are presented and the rate of stabilization is evaluated. Asymptotic behavior of solution is demonstrated by examples.
reviewed by: T.Bokareva
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 130854
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: uniform estimates
zbMATH Keywords: stabilization of a solution
zbMATH Keywords: solvability of the stationary problem
author: Alexander Zlotnik
MaRDI profile type: Publication
cites work: Q3858686
cites work: Q3313501
cites work: On the structure of generalized solutions of the one-dimensional equations of a polytropic viscous gas
cites work: Q3657645
cites work: Asymptotic behaviour of the density for one-dimensional Navier-Stokes equations
cites work: An \(L^ p\)-theory for the \(n\)-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions
cites work: Q3685389
cites work: Q4712291
cites work: Long time behavior for one-dimensional motion of a general barotropic viscous fluid
cites work: The stability of one dimensional stationary flows of compressible viscous fluids
full work available at URL: https://doi.org/10.1007/bf00970988
OpenAlex ID: W1996523177
description: scientific article; zbMATH DE number 130854