On the stability of Thomson’s vortex pentagon inside a circular domain

被引：0
|
作者：
Leonid G. Kurakin
机构：
[1] Southern Federal University,Department of Mathematics, Mechanics, and Computer Sciences
[2] Southern Mathematical Institute VSC RAS,undefined
来源：
Regular and Chaotic Dynamics | 2012年 / 17卷
关键词：
point vortices; stationary motion; stability; resonance; 76B47; 34D20; 70K30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the stability problem for stationary rotation of five identical point vortices located at the vertices of a regular pentagon inside a circular domain. The main result is the proof of theorems which have been announced by the author in Doklady Physics (2004, vol. 49, no. 11, pp. 658–661).
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页码：150 / 169
页数：19
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