Two-dimensional jet flows for compressible full Euler system with general vorticity
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909181535059968 |
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| author | Li, Yan |
| author_facet | Li, Yan |
| contents | In this paper, we consider the well-posedness theory of two-dimensional compressible subsonic jet flows for steady full Euler system with general vorticity. Inspired by the analysis in arXiv:2006.05672, we show that the stream function formulation for such system admits a variational structure. Then the existence and uniqueness of a smooth subsonic jet flow can be established by the variational method developed by Alt, Caffarelli and Friedman. Furthermore, the far fields behavior of the flow and the existence of a critical upstream pressure are also obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16377 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-dimensional jet flows for compressible full Euler system with general vorticity Li, Yan Analysis of PDEs In this paper, we consider the well-posedness theory of two-dimensional compressible subsonic jet flows for steady full Euler system with general vorticity. Inspired by the analysis in arXiv:2006.05672, we show that the stream function formulation for such system admits a variational structure. Then the existence and uniqueness of a smooth subsonic jet flow can be established by the variational method developed by Alt, Caffarelli and Friedman. Furthermore, the far fields behavior of the flow and the existence of a critical upstream pressure are also obtained. |
| title | Two-dimensional jet flows for compressible full Euler system with general vorticity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.16377 |