Cauchy Problem for Cylinder-like Capillary Jets
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913548885557248 |
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| author | Yang, Haocheng |
| author_facet | Yang, Haocheng |
| contents | The motion of liquid jets plays an important role in physics and engineering, and needs rigorous mathematical investigations. Recently, Huang-Karakhanyan proved the first local well-posedness in Sobolev spaces for axisymmetric jets. In this paper, we will extend this result to general jets, namely without any axisymmetry condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12506 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cauchy Problem for Cylinder-like Capillary Jets Yang, Haocheng Analysis of PDEs The motion of liquid jets plays an important role in physics and engineering, and needs rigorous mathematical investigations. Recently, Huang-Karakhanyan proved the first local well-posedness in Sobolev spaces for axisymmetric jets. In this paper, we will extend this result to general jets, namely without any axisymmetry condition. |
| title | Cauchy Problem for Cylinder-like Capillary Jets |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.12506 |