On the existence and asymptotical behaviour of a steady flow of a viscous barotropic gas in a pipe
type: Item
instance of: scholarly article
title: On the existence and asymptotical behaviour of a steady flow of a viscous barotropic gas in a pipe
zbMATH Open document ID: 0938.35142
DOI: 10.1007/BF01782612
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2000-01-04T00:00:00Z
review text: The authors discuss the existence, uniqueness and asymptotic behaviour of steady three-dimensional flows of an isothermal viscous gas in channels with finite cross-sections at infinity, i.e. as \(|x_3|\to\infty\). This problem is studied first for Poisson-Stokes equations with an additional ``flux'' condition, and then for a control problem of Navier-Stokes type. The proof is based on the investigation of an auxiliary linear problem with subsequent iterations to the nonlinear case.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76N25
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 1383212
zbMATH Keywords: flux condition
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: isothermal viscous gas
zbMATH Keywords: channels with finite cross-sections at infinity
zbMATH Keywords: Poisson-Stokes equations
zbMATH Keywords: control problem of Navier-Stokes type
zbMATH Keywords: auxiliary linear problem
zbMATH Keywords: iterations
author: Mariarosaria Padula
author: K. Pileckas
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1383212