Vacuum states and global stability of rarefaction waves for compressible flow
type: Item
instance of: scholarly article
title: Vacuum states and global stability of rarefaction waves for compressible flow
zbMATH Open document ID: 1009.76077
published in: Methods and Applications of Analysis
publication date: 2002-06-19T00:00:00Z
review text: The global stability of rarefaction waves for a broad class of entropy solutions containing vacuum (cavitation) states is proved for compressible Euler equations for one-dimensional both isentropic and non-isentropic fluids. In order to investigate the instability of solutions containing the vacuum states for compressible Navier-Stokes equations, the author presents some techniques to estimate the lower bound on the density for multidimensional viscous non-isentropic fluids with spherical symmetry between a solid core and a free boundary connected to a surrounding vacuum state. The analysis works for the solutions with arbitrary large oscillation.
reviewed by: Walter Wuest
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 1757305
zbMATH Keywords: isentropic fluids
zbMATH Keywords: cavitation
zbMATH Keywords: global stability
zbMATH Keywords: rarefaction waves
zbMATH Keywords: entropy solutions
zbMATH Keywords: compressible Euler equations
zbMATH Keywords: vacuum states
zbMATH Keywords: compressible Navier-Stokes equations
zbMATH Keywords: non-isentropic fluids
zbMATH Keywords: spherical symmetry
author: Gui-Qiang Chen
MaRDI profile type: Publication
full work available at URL: maa.2000.v7.n2.a5
OpenAlex ID: W168720733
DOI: 10.4310/MAA.2000.V7.N2.A5
description: scientific article; zbMATH DE number 1757305