Curve shortening flow in arbitrary dimensional euclidian space
文献类型：期刊论文
| 作者 | Yang, YY; Jiao, XX |
| 刊名 | Acta mathematica sinica-english series
 |
| 出版日期 | 2005-08-01 |
| 卷号 | 21期号:4页码:715-722 |
| 关键词 | Curve shortening flow Singularity formation Blow up |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-004-0426-z |
| 通讯作者 | Yang, yy(yunyan_yang2002@yahoo.com.cn) |
| 英文摘要 | In this paper, curve shortening flow in euclidian space r-n(n >= 3) is studied, and s. altschuler's results about flow for space curves are generalized. we prove that the curve shortening flow converges to a straight line in infinite time if the initial curve is a ramp. we also prove the planar phenomenon when the curve shortening flow blows up. |
| WOS关键词 | SINGULARITIES |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000231514000007 |
| 出版者 | SPRINGER HEIDELBERG |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2378388 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Yang, YY |
| 作者单位 | 1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Grad Sch, Dept Math, Beijing 100864, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, YY,Jiao, XX. Curve shortening flow in arbitrary dimensional euclidian space[J]. Acta mathematica sinica-english series,2005,21(4):715-722. |
| APA | Yang, YY,&Jiao, XX.(2005).Curve shortening flow in arbitrary dimensional euclidian space.Acta mathematica sinica-english series,21(4),715-722. |
| MLA | Yang, YY,et al."Curve shortening flow in arbitrary dimensional euclidian space".Acta mathematica sinica-english series 21.4(2005):715-722. |
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来源：中国科学院大学
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