Journal article
The transition of Riemann solutions of the modified Chaplygin gas equations with friction to the solutions of the Chaplygin gas equations
Zeitschrift für angewandte Mathematik und Mechanik, Vol.102(3), e201800064
03/2022
DOI: 10.1002/zamm.201800064
Abstract
We are concerned with the transition of Riemann solutions of the modified Chaplygin gas equations with a source term to the corresponding solutions of the inhomogeneous Chaplygin gas system. Different from the homogeneous equations, the Riemann solutions of the inhomogeneous system are non self‐similar. As the parameter in the modified Chaplygin gas tends to zero, the behavior of the Riemann solutions is considered. The phenomenon of concentration and the formation of the delta shock wave are identified and analyzed systematically.
We are concerned with the transition of Riemann solutions of the modified Chaplygin gas equations with a source term to the corresponding solutions of the inhomogeneous Chaplygin gas system. Different from the homogeneous equations, the Riemann solutions of the inhomogeneous system are non self‐similar. As the parameter in the modified Chaplygin gas tends to zero, the behavior of the Riemann solutions is considered. The phenomenon of concentration and the formation of the delta shock wave are identified and analyzed systematically.
Details
- Title: Subtitle
- The transition of Riemann solutions of the modified Chaplygin gas equations with friction to the solutions of the Chaplygin gas equations
- Creators
- Lihui Guo - Xinjiang UniversityTong Li - University of IowaGan Yin - Zhejiang University of Science and Technology
- Resource Type
- Journal article
- Publication Details
- Zeitschrift für angewandte Mathematik und Mechanik, Vol.102(3), e201800064
- DOI
- 10.1002/zamm.201800064
- ISSN
- 0044-2267
- eISSN
- 1521-4001
- Number of pages
- 15
- Grant note
- National Natural Science Foundation of China (11761068; 11401508; 11461066) Natural Science Foundation of Xinjiang Province (2017D01C053)
- Language
- English
- Date published
- 03/2022
- Academic Unit
- Mathematics
- Record Identifier
- 9984240777702771
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