Generalized Kirchhoff vortices
作者:
L. M. Polvani,
G. R. Flierl,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1986)
卷期:
Volume 29,
issue 8
页码: 2376-2379
ISSN:0031-9171
年代: 1986
DOI:10.1063/1.865530
出版商: AIP
数据来源: AIP
摘要:
A family of exact solutions of the Euler equations is presented: they are generalizations of the Kirchhoff vortex toNconfocal ellipses. Special attention is given to the caseN=2, for which the stability is analyzed with a method similar to the one used by Love [Proc. London Math. Soc.1, XXV 18 (1893)] for the Kirchhoff vortex. The results are compared with those for the corresponding circular problem.
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