Journal article
The limiting behavior of the Riemann solutions of non-isentropic modified Chaplygin gas dynamics
Journal of mathematical physics, Vol.62(4), 041501
04/01/2021
DOI: 10.1063/5.0033806
Abstract
In this article, we construct the Riemann solutions of the compressible Euler equations in non-isentropic modified Chaplygin gas. In order to compare the Riemann solutions of modified and pure Chaplygin gas, we extend the solvable region of the Riemann solution of the pure Chaplygin gas state and discover the formation of the delta -shock waves. By studying the limiting behavior, we find that the limit of the Riemann solutions of modified Chaplygin gas is the same as pure Chaplygin gas including the delta -shock waves. Finally, we perform some numerical simulations to verify the theoretical analysis.
Details
- Title: Subtitle
- The limiting behavior of the Riemann solutions of non-isentropic modified Chaplygin gas dynamics
- Creators
- Weifeng Jiang - China Jiliang UniversityTong Li - University of IowaZhen Wang - Wuhan University of TechnologyShutian Fang - Tufts University
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical physics, Vol.62(4), 041501
- Publisher
- AMER INST PHYSICS
- DOI
- 10.1063/5.0033806
- ISSN
- 0022-2488
- eISSN
- 1089-7658
- Number of pages
- 17
- Grant note
- Department of Mathematics in University of Iowa LQ18A010004 / Natural Science Foundation of Zhejiang; Natural Science Foundation of Zhejiang Province 201908330112 / China Scholarship Council Funding; China Scholarship Council G2020020 / Science and Technology Plan Project of Wenzhou, China
- Language
- English
- Date published
- 04/01/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984240778102771
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