Supersonic flow past an airfoil
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929197229801472 |
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| author | Angelopoulos, Yannis |
| author_facet | Angelopoulos, Yannis |
| contents | We consider a supersonic flow past an airfoil in the context of the steady, isentropic and irrotational compressible Euler equations. We show that for appropriate data, either a shock forms, in which case certain derivatives of the solution blow up, or a sonic line forms, which translates to the fact that the hyperbolic character of the equations degenerates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17408 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Supersonic flow past an airfoil Angelopoulos, Yannis Analysis of PDEs We consider a supersonic flow past an airfoil in the context of the steady, isentropic and irrotational compressible Euler equations. We show that for appropriate data, either a shock forms, in which case certain derivatives of the solution blow up, or a sonic line forms, which translates to the fact that the hyperbolic character of the equations degenerates. |
| title | Supersonic flow past an airfoil |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2312.17408 |