Steady vortex sheets in presence of surface tension
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912074632790016 |
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| author | Murgante, Federico Roulley, Emeric Scrobogna, Stefano |
| author_facet | Murgante, Federico Roulley, Emeric Scrobogna, Stefano |
| contents | We prove a bifurcation result of uniformly-rotating/stationary non-trivial vortex sheets near the circular distribution for a model of two irrotational fluids with same density taking into account surface tension effects. As bifurcation parameters, we play with either the speed of rotation, the surface tension coefficient or the mean vorticity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12612 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Steady vortex sheets in presence of surface tension Murgante, Federico Roulley, Emeric Scrobogna, Stefano Analysis of PDEs We prove a bifurcation result of uniformly-rotating/stationary non-trivial vortex sheets near the circular distribution for a model of two irrotational fluids with same density taking into account surface tension effects. As bifurcation parameters, we play with either the speed of rotation, the surface tension coefficient or the mean vorticity. |
| title | Steady vortex sheets in presence of surface tension |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.12612 |