Journal article
The singular limits of the Riemann solutions as pressure vanishes for a reduced two-phase mixtures model with non-isentropic gas state
Journal of mathematical physics, Vol.65(7), 1503
07/01/2024
DOI: 10.1063/5.0191801
Abstract
We study the cavitation and concentration phenomena of the Riemann solutions for a reduced two-phase mixtures model with non-isentropic gas state in vanishing pressure limit. We solve the Riemann problem by constructing the regions in (p, u, s) coordinate system. Then we obtain the limiting behaviors of the Riemann solutions and the formation of δ-shock waves and vacuum as pressure vanishes. We conclude that, as pressure vanishes, the limit of Riemann solutions is the Riemann solutions of the reduced 2-dimensional pressureless gas dynamics model. Finally, we present numerical simulations which are consistent with our theoretical analysis.
Details
- Title: Subtitle
- The singular limits of the Riemann solutions as pressure vanishes for a reduced two-phase mixtures model with non-isentropic gas state
- Creators
- W. Jiang - China Jiliang UniversityD. Jin - China Jiliang UniversityT. Li - University of IowaT. Chen - Jianghan University
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical physics, Vol.65(7), 1503
- DOI
- 10.1063/5.0191801
- ISSN
- 0022-2488
- eISSN
- 1089-7658
- Number of pages
- 16
- Grant note
- 210052 / Mathematical Analysis, the First Class Courses in Zhejiang Province 210039 / Fundamental Research Funds for the Provincial Universities of Zhejiang (https://doi.org/10.13039/100022955) LQ18A010004 / Natural Science Foundation of Zhejiang Province (https://doi.org/10.13039/501100004731)
- Date published
- 07/01/2024
- Academic Unit
- Mathematics
- Record Identifier
- 9984652154202771
Metrics
1 Record Views