On some simple examples of non-parabolic curve flows in the plane
| العنوان: | On some simple examples of non-parabolic curve flows in the plane |
|---|---|
| المؤلفون: | Xiao-Liu Wang, Dong-Ho Tsai, Yu Chu Lin |
| المصدر: | Journal of Evolution Equations. 15:817-845 |
| بيانات النشر: | Springer Science and Business Media LLC, 2015. |
| سنة النشر: | 2015 |
| مصطلحات موضوعية: | Mathematics (miscellaneous), Curve-shortening flow, Flow (mathematics), Simple (abstract algebra), Plane (geometry), Regular polygon, Geometry, GEOM, Curvature, Mathematics |
| الوصف: | We discuss several examples of non-parabolic curve flows in the plane. In these flows, the speed functions do not involve the curvature at all. Although elementary in nature, there are some interesting properties. In particular, certain non-parabolic flows can be employed to evolve a convex closed curve to become circular or to evolve a non-convex curve to become convex eventually, like what we have seen in the classical curve shortening flow (parabolic flow) by Gage and Hamilton (J Differ Geom 23:69–96, 1986), Grayson (J Differ Geom 26:285–314, 1987). |
| تدمد: | 1424-3202 1424-3199 |
| DOI: | 10.1007/s00028-015-0282-6 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::568529e9dc5d26a2f8bd5c459c4f9e70 https://doi.org/10.1007/s00028-015-0282-6 |
| Rights: | CLOSED |
| رقم الانضمام: | edsair.doi...........568529e9dc5d26a2f8bd5c459c4f9e70 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14243202 14243199 |
|---|---|
| DOI: | 10.1007/s00028-015-0282-6 |