The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term
type: Item
instance of: scholarly article
title: The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term
zbMATH Open document ID: 1373.35047
author: Tong Li
author: Gan Yin
author: Lihui Guo
published in: Journal of Mathematical Analysis and Applications
publication date: 2017-08-03T00:00:00Z
review text: The authors focus on the vanishing pressure limits of non-self-similar Riemann solutions to the 1D inhomogeneous generalized Chaplygin gas equations with nonlinear characteristic field. The Riemann solution converges to that of the pressureless gas dynamics model. Depending on the initial conditions, either two shock solutions converge to a delta-shock solution of the same system that then converges to a delta-shock solution of a limit system; or two rarefaction wave solutions converge to two contact discontinuities separated by a vacuum state; or the limit is just a contact discontinuity.
reviewed by: Ilya A. Chernov
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35F25
Mathematics Subject Classification ID: 85A40
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 35L67
zbMATH DE Number: 6756227
zbMATH Keywords: pressureless gas dynamics
zbMATH Keywords: non-self-similar solutions
zbMATH Keywords: Riemann problem
zbMATH Keywords: delta shock wave
zbMATH Keywords: vacuum state
MaRDI profile type: Publication
full work available at URL: j.jmaa.2017.05.048
OpenAlex ID: W2618376017
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DOI: 10.1016/J.JMAA.2017.05.048
description: scientific article; zbMATH DE number 6756227