On pressureless Euler equation with external force
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909209792086016 |
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| author | Konopelchenko, B. G. Ortenzi, G. |
| author_facet | Konopelchenko, B. G. Ortenzi, G. |
| contents | Hodograph equations for the n-dimensional Euler equations with the constant pressure and external force linear in velocity are presented. They provide us with solutions of the Euler in implicit form and information on existence or absence of gradient catastrophes. It is shown that in even dimensions the constructed solutions are periodic in time for particular subclasses of external forces. Several particular examples in one, two and three dimensions are considered, including the case of Coriolis external force. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10646 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On pressureless Euler equation with external force Konopelchenko, B. G. Ortenzi, G. Mathematical Physics Exactly Solvable and Integrable Systems Fluid Dynamics Hodograph equations for the n-dimensional Euler equations with the constant pressure and external force linear in velocity are presented. They provide us with solutions of the Euler in implicit form and information on existence or absence of gradient catastrophes. It is shown that in even dimensions the constructed solutions are periodic in time for particular subclasses of external forces. Several particular examples in one, two and three dimensions are considered, including the case of Coriolis external force. |
| title | On pressureless Euler equation with external force |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems Fluid Dynamics |
| url | https://arxiv.org/abs/2405.10646 |