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.

引用

页码：68 / 80

页数：13

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