On Euler equation for incoherent fluid in curved spaces
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912323907616768 |
|---|---|
| author | Konopelchenko, B. G. Ortenzi, G. |
| author_facet | Konopelchenko, B. G. Ortenzi, G. |
| contents | Hodograph equations for the Euler equation in curved spaces with constant pressure are discussed. It is shown that the use of known results concerning geodesics and associated integrals allows to construct several types of hodograph equations. These hodograph equations provide us with various classes of solutions of the Euler equation, including stationary solutions. Particular cases of cone and sphere in the 3-dimensional Eulidean space are analysed in detail. Euler equation on the sphere in the 4-dimensional Euclidean space is considered too. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18222 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Euler equation for incoherent fluid in curved spaces Konopelchenko, B. G. Ortenzi, G. Mathematical Physics Exactly Solvable and Integrable Systems Hodograph equations for the Euler equation in curved spaces with constant pressure are discussed. It is shown that the use of known results concerning geodesics and associated integrals allows to construct several types of hodograph equations. These hodograph equations provide us with various classes of solutions of the Euler equation, including stationary solutions. Particular cases of cone and sphere in the 3-dimensional Eulidean space are analysed in detail. Euler equation on the sphere in the 4-dimensional Euclidean space is considered too. |
| title | On Euler equation for incoherent fluid in curved spaces |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2501.18222 |