On bounds for solutions to finite-difference equations for one- dimensional flow of viscous barotropic gas
type: Item
instance of: scholarly article
title: On bounds for solutions to finite-difference equations for one- dimensional flow of viscous barotropic gas
zbMATH Open document ID: 0821.76057
published in: Russian Mathematics
publication date: 1995-05-17T00:00:00Z
review text: Some new a priori estimates are presented for the title problem in terms of the state equation \(p = p(\eta)\), where \(p\) is pressure and \(\eta\) is specific volume. In particular, a general estimate is given which does not depend on the behaviour of \({dp \over d \eta}\), and an important case is considered where the function \(p(\eta)\) is defined not on the whole semi-axis \(\mathbb{R}^ +\), but only for \(\eta > b > 0\) being not monotone nor bounded. The results obtained are used to derive the uniqueness conditions for two-layer difference schemes approximating the equations of magnetic barotropic gas dynamics.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 746056
zbMATH Keywords: a priori estimates
zbMATH Keywords: state equation
zbMATH Keywords: uniqueness
zbMATH Keywords: two-layer difference schemes
zbMATH Keywords: magnetic barotropic gas dynamics
author: Alexander Zlotnik
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 746056