Interaction between Kirchhoff vortices and point vortices in an ideal fluid

被引：2
作者：
Borisov, A. V. [1 ]
Mamaev, I. S. [1 ]
机构：
[1] Udmurt State Univ, Inst Comp Sci, Izhevsk 426034, Russia
来源：
REGULAR & CHAOTIC DYNAMICS | 2007年 / 12卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
vortex patch; point vortex; integrability;
D O I：
10.1134/S1560354707010066
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the interaction of two vortex patches ( elliptic Kirchho. vortices) which move in an unbounded volume of an ideal incompressible fluid. A moment second-order model is used to describe the interaction. The case of integrability of a Kirchho. vortex and a point vortex by the variable separation method is qualitatively analyzed. A new case of integrability of two Kirchho. vortices is found. A reduced form of equations for two Kirchho. vortices is proposed and used to analyze their regular and chaotic behavior.
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页码：68 / 80
页数：13
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