Standing Waves of Fixed Period for n+1 Vortex Filaments

被引：0
|
作者：
Craig, Walter [1 ]
Garcia-Azpeitia, Carlos [2 ]
机构：
[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada
[2] Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, Mexico
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2020年 / 32卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Vortex filaments; Periodic solutions; Bifurcation; BIFURCATION; EQUATIONS;
D O I：
10.1007/s10884-019-09768-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The n + 1 vortex filament problem has explicit solutions consisting of n parallel filaments of equal circulation in the form of nested polygons uniformly rotating around a central filament which has circulation of opposite sign. We show that when the relation between temporal and spatial periods is fixed at certain rational numbers, these configurations have an infinite number of homographic time dependent standing wave patterns that bifurcate from these uniformly rotating central configurations.
引用
收藏
页码：1631 / 1640
页数：10
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