Journal article
The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term
Journal of mathematical analysis and applications, Vol.455(1), pp.127-140
11/01/2017
DOI: 10.1016/j.jmaa.2017.05.048
Abstract
The paper is concerned with the limit behavior of the Riemann solutions to the inhomogeneous generalized Chaplygin gas equations. The formation of delta shock waves and the vacuum states are identified and analyzed as the pressure vanishes. Unlike the homogeneous case, the Riemann solutions are no longer self-similar. As the pressure vanishes, the Riemann solutions to the generalized Chaplygin gas equations with a friction term converge to the Riemann solutions to the pressureless gas dynamics model with a body force.
Details
- Title: Subtitle
- The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term
- Creators
- Lihui Guo - Xinjiang UniversityTong Li - University of IowaGan Yin - Zhejiang University of Science and Technology
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical analysis and applications, Vol.455(1), pp.127-140
- Publisher
- Elsevier Inc
- DOI
- 10.1016/j.jmaa.2017.05.048
- ISSN
- 0022-247X
- eISSN
- 1096-0813
- Grant note
- 11401508; 11461066 / National Natural Science Foundation of China (http://dx.doi.org/10.13039/501100001809) XJEDU2014I001 / China Scholarship Council (http://dx.doi.org/10.13039/501100004543)
- Language
- English
- Date published
- 11/01/2017
- Academic Unit
- Mathematics
- Record Identifier
- 9984241054102771
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