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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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