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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 3, Pages 584–598 (Mi smj2109)  
This article is cited in 14 scientific papers (total in 14 papers)

Stability of the Thomson vortex polygon with evenly many vortices outside a circular domain

L. G. Kurakin, I. V. Ostrovskaya

Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences, Rostov-on-Don
Full-text PDF (364 kB) Citations (14)
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Abstract: We consider the stability problem for the stationary rotation of a regular point vortex $n$-gon lying outside a circular domain. After the article of Havelock (1931), the complete solution of the problem remains unclear in the case $2\le n\le6$. We obtain the exhaustive results for evenly many vortices $n=2,4,6$.
Keywords: stability, point vortex, stationary motion, Hamiltonian systems.
Received: 23.06.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 3, Pages 463–474
DOI: https://doi.org/10.1007/s11202-010-0048-x
Bibliographic databases:
Document Type: Article
UDC: 531.36
Language: Russian
Citation: L. G. Kurakin, I. V. Ostrovskaya, “Stability of the Thomson vortex polygon with evenly many vortices outside a circular domain”, Sibirsk. Mat. Zh., 51:3 (2010), 584–598; Siberian Math. J., 51:3 (2010), 463–474
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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