Solutions of Three-Dimensional Stationary Gas Dynamics Equations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908656832872448 |
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| author | Kaptsov, O. V. |
| author_facet | Kaptsov, O. V. |
| contents | This paper examines the three-dimensional stationary equations of a polytropic gas and employs symmetry methods to construct exact analytical solutions. In the Chaplygin gas case, the analysis yields a highly general solution family depending on three arbitrary functions, while the general adiabatic index formulation admits explicit solutions parameterized by several constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12458 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Solutions of Three-Dimensional Stationary Gas Dynamics Equations Kaptsov, O. V. Mathematical Physics Exactly Solvable and Integrable Systems This paper examines the three-dimensional stationary equations of a polytropic gas and employs symmetry methods to construct exact analytical solutions. In the Chaplygin gas case, the analysis yields a highly general solution family depending on three arbitrary functions, while the general adiabatic index formulation admits explicit solutions parameterized by several constants. |
| title | Solutions of Three-Dimensional Stationary Gas Dynamics Equations |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2511.12458 |