Contact discontinuities for axisymmetric subsonic flows in three-dimensional infinitely long cylinders
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914531113959424 |
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| author | Park, Hyangdong |
| author_facet | Park, Hyangdong |
| contents | We prove the existence of contact discontinuities for axisymmetric subsonic Euler flows with non-zero vorticity and non-zero angular momentum density in three-dimensional infinitely long cylinders. The problem is formulated as a two-phase free boundary problem in a cylinder of infinite length. We first solve the cut-off domain problem and take the limit. The cut-off domain problem is reformulated by using a Helmholtz decomposition method and solved via an iteration method. A sophisticated iteration scheme is devised to solve the two-phase free boundary problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03714 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Contact discontinuities for axisymmetric subsonic flows in three-dimensional infinitely long cylinders Park, Hyangdong Analysis of PDEs We prove the existence of contact discontinuities for axisymmetric subsonic Euler flows with non-zero vorticity and non-zero angular momentum density in three-dimensional infinitely long cylinders. The problem is formulated as a two-phase free boundary problem in a cylinder of infinite length. We first solve the cut-off domain problem and take the limit. The cut-off domain problem is reformulated by using a Helmholtz decomposition method and solved via an iteration method. A sophisticated iteration scheme is devised to solve the two-phase free boundary problem. |
| title | Contact discontinuities for axisymmetric subsonic flows in three-dimensional infinitely long cylinders |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2605.03714 |