تقرير
The hanging chain problem with respect to a circle
| العنوان: | The hanging chain problem with respect to a circle |
|---|---|
| المؤلفون: | López, Rafael |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53A04, 49K05, 49J05 |
| الوصف: | Let $\s^1$ be a circle in Euclidean plane. We consider the problem of finding the shape of a planar curve which is an extremal of the potential energy that measures the distance to $\s^1$. We describe the shape of these curves distinguishing if the curves lie in the inside or outside of $\s^1$. We extend the problem for energies that are powers to the distance to $\s^1$. Comment: 18 pages, 9 figures |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2405.12947Test |
| رقم الانضمام: | edsarx.2405.12947 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |