Report
On Euler equation for incoherent fluid in curved spaces
| العنوان: | On Euler equation for incoherent fluid in curved spaces |
|---|---|
| المؤلفون: | Konopelchenko, B. G., Ortenzi, G. |
| سنة النشر: | 2025 |
| المجموعة: | Mathematics Mathematical Physics Nonlinear Sciences |
| مصطلحات موضوعية: | Mathematical Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | 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. Comment: 15 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2501.18222 |
| رقم الانضمام: | edsarx.2501.18222 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |