\(L^ 1\) and \(L^ 2\) properties of a class of singular second order elliptic operators on \(\mathbb{R}^ N\) with measurable coefficients
type: Item
instance of: scholarly article
title: \(L^ 1\) and \(L^ 2\) properties of a class of singular second order elliptic operators on \(\mathbb{R}^ N\) with measurable coefficients
zbMATH Open document ID: 0860.35097
author: M. M. H. Pang
published in: Journal of Differential Equations
publication date: 1997-04-21T00:00:00Z
review text: The author considers the equations of motion of a compressible fluid under the correlation \(p= \lambda^2 p(\rho)\) where \(p\) is pressure and \(\rho\) is density. The parameter \(\lambda\) goes to infinity, and a theorem on convergence of the solution of compressible fluid equations to incompressible ones is proved. This corresponds to convergence of the Mach number to zero.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35J15
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 933267
zbMATH Keywords: compressible and incompressible fluids
zbMATH Keywords: convergence
reviewed by: P. B. Dubovski
MaRDI profile type: Publication
full work available at URL: jdeq.1996.0109
OpenAlex ID: W1984185294
DOI: 10.1006/JDEQ.1996.0109
description: scientific article; zbMATH DE number 933267