Stratified equatorial flows in cylindrical coordinates with surface tension
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914183893745664 |
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| author | Gheorghe, Cristina Stan, Andrei |
| author_facet | Gheorghe, Cristina Stan, Andrei |
| contents | This paper considers a mathematical model of steady flows of an inviscid and incompressible fluid moving in the azimuthal direction. The water density varies with depth and the waves are propagating under the force of gravity, over a flat bed and with a free surface, on which acts a force of surface tension. Our solution pertains to large scale equatorial dynamics of a fluid with free surface expressed in cylindrical coordinates. We also prove a regularity result for the free surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08016 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stratified equatorial flows in cylindrical coordinates with surface tension Gheorghe, Cristina Stan, Andrei Analysis of PDEs This paper considers a mathematical model of steady flows of an inviscid and incompressible fluid moving in the azimuthal direction. The water density varies with depth and the waves are propagating under the force of gravity, over a flat bed and with a free surface, on which acts a force of surface tension. Our solution pertains to large scale equatorial dynamics of a fluid with free surface expressed in cylindrical coordinates. We also prove a regularity result for the free surface. |
| title | Stratified equatorial flows in cylindrical coordinates with surface tension |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2506.08016 |