The limit Riemann solutions to nonisentropic Chaplygin Euler equations
We mainly consider the limit behaviors of the Riemann solutions to Chaplygin Euler equations for nonisentropic fluids. The formation of delta shock wave and the appearance of vacuum state are found as parameter ε\varepsilon tends to a certain value. Different from the isentropic fluids, the weight...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-12-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2020-0113 |
| Summary: | We mainly consider the limit behaviors of the Riemann solutions to Chaplygin Euler equations for nonisentropic fluids. The formation of delta shock wave and the appearance of vacuum state are found as parameter ε\varepsilon tends to a certain value. Different from the isentropic fluids, the weight of delta shock wave is determined by variance density ρ\rho and internal energy H. Meanwhile, involving the entropy inequality, the uniqueness of delta shock wave is obtained. |
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| ISSN: | 2391-5455 |