Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations
type: Item
instance of: scholarly article
title: Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations
zbMATH Open document ID: 1209.35079
author: Jiequan Li
author: Zhicheng Yang
author: Yuxi Zheng
published in: Journal of Differential Equations
publication date: 2011-01-18T00:00:00Z
review text: The authors study the two-dimensional isentropic compressible Euler system. Initial data are constant along any ray starting in the origin. The solution is assumed to depend on self-similar variables \((x/t, y/t)\). The focus is on interaction of two arbitrary rarefaction waves for the self-similar solution. The direct approach (based on studying characteristics) is used and compared with the hodograph transformation. Properties of the classical solution to the problem of gas expansion are revealed using this approach.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 5838448
zbMATH Keywords: Riemann problem
zbMATH Keywords: direct approach
zbMATH Keywords: inclination angle
zbMATH Keywords: planar wave
zbMATH Keywords: Riemann variables
zbMATH Keywords: hodograph transformation
MaRDI profile type: Publication
full work available at URL: j.jde.2010.07.009
OpenAlex ID: W1985600324
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DOI: 10.1016/J.JDE.2010.07.009
description: scientific article; zbMATH DE number 5838448