{"title":"玫瑰形圆盘的渐近势","authors":"Alina E. Sagaydak , Zurab K. Silagadze","doi":"10.1016/j.elstat.2025.104099","DOIUrl":null,"url":null,"abstract":"<div><div>Based on extensive numerical evidence, a recent paper (Chen et al., 2024) suggested that the potential of a uniformly charged rose-shaped disk in the plane of the disk has a simple asymptotic form. We present an analytical proof of this interesting conjecture.</div></div>","PeriodicalId":54842,"journal":{"name":"Journal of Electrostatics","volume":"136 ","pages":"Article 104099"},"PeriodicalIF":1.9000,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Asymptotic potential of a rose-shaped disk\",\"authors\":\"Alina E. Sagaydak , Zurab K. Silagadze\",\"doi\":\"10.1016/j.elstat.2025.104099\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Based on extensive numerical evidence, a recent paper (Chen et al., 2024) suggested that the potential of a uniformly charged rose-shaped disk in the plane of the disk has a simple asymptotic form. We present an analytical proof of this interesting conjecture.</div></div>\",\"PeriodicalId\":54842,\"journal\":{\"name\":\"Journal of Electrostatics\",\"volume\":\"136 \",\"pages\":\"Article 104099\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2025-06-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Electrostatics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0304388625000713\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Electrostatics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0304388625000713","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
摘要
基于广泛的数值证据,最近的一篇论文(Chen et al., 2024)提出,均匀带电的玫瑰形圆盘在其平面上的势具有简单的渐近形式。我们给出了这个有趣猜想的解析证明。
Based on extensive numerical evidence, a recent paper (Chen et al., 2024) suggested that the potential of a uniformly charged rose-shaped disk in the plane of the disk has a simple asymptotic form. We present an analytical proof of this interesting conjecture.
期刊介绍:
The Journal of Electrostatics is the leading forum for publishing research findings that advance knowledge in the field of electrostatics. We invite submissions in the following areas:
Electrostatic charge separation processes.
Electrostatic manipulation of particles, droplets, and biological cells.
Electrostatically driven or controlled fluid flow.
Electrostatics in the gas phase.