On the problem of motion of vortex sources on a plane

被引：17

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 | 2006年 / 11卷 / 04期

关键词：

vortex sources; integrability; Hamiltonian; point vortex;

D O I：

10.1070/RD2006v011n04ABEH000363

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Equations of motion of vortex sources (examined earlier by Fridman and Polubarinova) are studied, and the problems of their being Hamiltonian and integrable are discussed. A system of two vortex sources and three sources-sinks was examined. Their behavior was found to be regular. Qualitative analysis of this system was made, and the class of Lionville integrable systems is considered. Particular solutions analogous to the homothetic configurations in celestial mechanics are given.

引用

页码：455 / 466

页数：12

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