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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Interaction between Kirchhoff vortices and point vortices in an ideal fluid
A. V. Borisov, I. S. Mamaev Institute of Computer Science, Udmurt State University,
Universitetskaya ul. 1, 426034 Izhevsk, Russia
Аннотация:
We consider the interaction of two vortex patches (elliptic Kirchhoff 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 Kirchhoff vortex and a point vortex is qualitatively analyzed. A new case of integrability of two Kirchhoff vortices is found by the variable separation method . A reduced form of equations for two Kirchhoff vortices is proposed and used to analyze their regular and chaotic behavior.
Ключевые слова:
vortex patch, point vortex, integrability.
Поступила в редакцию: 01.03.2005 Принята в печать: 14.01.2006
Образец цитирования:
A. V. Borisov, I. S. Mamaev, “Interaction between Kirchhoff vortices and point vortices in an ideal fluid”, Regul. Chaotic Dyn., 12:1 (2007), 68–80
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd612 https://www.mathnet.ru/rus/rcd/v12/i1/p68
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