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| Helicoids and vortices | |
| 2022-11-30 | |
| 发表期刊 | PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
 |
| ISSN | 1364-5021 |
| EISSN | 1471-2946 |
| 卷号 | 478期号:2267 |
| 发表状态 | 已发表 |
| DOI | 10.1098/rspa.2022.0431 |
| 摘要 | We point out an interesting connection between fluid dynamics and minimal surface theory: When gluing helicoids into a minimal surface, the limit positions of the helicoids correspond to a 'vortex crystal', an equilibrium of point vortices in two-dimensional fluid that move together as a rigid body. While vortex crystals have been studied for almost 150 years, the gluing construction of minimal surfaces is relatively new. As a consequence of the connection, we obtain many new minimal surfaces and some new vortex crystals by simply comparing notes. |
| 关键词 | minimal surfaces vortex dynamics gluing construction |
| URL | 查看原文 |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS研究方向 | Science & Technology - Other Topics |
| WOS类目 | Multidisciplinary Sciences |
| WOS记录号 | WOS:000892430700001 |
| 出版者 | ROYAL SOC |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/266611 |
| 专题 | 数学科学研究所_PI研究组(P)_陈浩组 |
| 通讯作者 | Chen, Hao |
| 作者单位 | 1.Georg August Univ Gottingen, Inst Numer & Angew Math, D-37085 Gottingen, Germany 2.ShanghaiTech Univ, Inst Math Sci, Shanghai 201210, Peoples R China 3.Indiana Univ, Dept Math, Bloomington, IN 47405 USA |
| 第一作者单位 | 数学科学研究所 |
| 通讯作者单位 | 数学科学研究所 |
| 推荐引用方式 GB/T 7714 | Chen, Hao,Freese, Daniel. Helicoids and vortices[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2022,478(2267). |
| APA | Chen, Hao,&Freese, Daniel.(2022).Helicoids and vortices.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,478(2267). |
| MLA | Chen, Hao,et al."Helicoids and vortices".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 478.2267(2022). |
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