Journal article
THE VANISHING PRESSURE LIMITS OF RIEMANN SOLUTIONS TO THE CHAPLYGIN GAS EQUATIONS WITH A SOURCE TERM
Communications on pure and applied analysis, Vol.16(1), pp.295-309
01/01/2017
DOI: 10.3934/cpaa.2017014
Abstract
We study the vanishing pressure limits of Riemann solutions to the Chaplygin gas equations with a source term. The phenomena of concentration and cavitation to Chaplygin gas equations with a friction term are identified and analyzed as the pressure vanishes. Due to the influence of source term, the Riemann solutions are no longer self-similar. When the pressure vanishes, the Riemann solutions to the inhomogeneous Chaplygin gas equations converge to the Riemann solutions to the pressureless gas dynamics model with a friction term.
Details
- Title: Subtitle
- THE VANISHING PRESSURE LIMITS OF RIEMANN SOLUTIONS TO THE CHAPLYGIN GAS EQUATIONS WITH A SOURCE TERM
- Creators
- Lihui Guo - Xinjiang UniversityTong Li - Univ Iowa, Dept Math, Iowa City, IA 52242 USAGan Yin - Xinjiang University
- Resource Type
- Journal article
- Publication Details
- Communications on pure and applied analysis, Vol.16(1), pp.295-309
- DOI
- 10.3934/cpaa.2017014
- ISSN
- 1534-0392
- eISSN
- 1553-5258
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Number of pages
- 15
- Grant note
- China Scholarship Council 11401508; 11461066 / National Natural Science Foundation of China XJEDU2014I001 / Scientific Research Program of the Higher Education Institution of XinJiang
- Language
- English
- Date published
- 01/01/2017
- Academic Unit
- Mathematics
- Record Identifier
- 9984240860902771
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