تقرير
Compactness and convexity results for closed relativistic strings
| العنوان: | Compactness and convexity results for closed relativistic strings |
|---|---|
| المؤلفون: | Bellettini, G., Hoppe, J., Novaga, M., Orlandi, G. |
| سنة النشر: | 2010 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics |
| الوصف: | We study various properties of closed relativistic strings. In particular, we characterize their closure under uniform convergence, extending a previous result by Y. Brenier on graph-like unbounded strings, and we discuss some related examples. Then we study the collapsing profile of convex planar strings which start with zero initial velocity, and we obtain a result analogous to the well-known theorem of Gage and Hamilton for the curvature flow of plane curves. We conclude the paper with the discussion of an example of weak Lipschitz evolution starting from the square in the plane, which exhibits some unexpected features. Comment: 22 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1001.4410 |
| رقم الأكسشن: | edsarx.1001.4410 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |