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Sibirskii Zhurnal Industrial'noi Matematiki, 2005, Volume 8, Number 3, Pages 8–17 (Mi sjim284)  
Linear stability of a system of Gauss vortices

I. G. Bord, D. F. Kranchev

Novosibirsk State University of Architecture and Civil Engineering
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Abstract: The stability problems are studied of the rigid body rotation of a regular polygonal system of pointwise and Gauss vortices. A stability criterion is obtained for a system of Gauss vortices which generalizes an available criterion for stability of the rigid body rotation of a system of pointwise vortices. The influence of dispersion of the vorticity distribution on stability of rigid body rotation is studied. It is shown, that there is some finite value of dispersion whose achievement yields the stabilization of known unstable perturbations.
Received: 25.04.2005
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 2, Pages 152–159
DOI: https://doi.org/10.1134/S1990478907020044
Bibliographic databases:
UDC: 532.5
Language: Russian
Citation: I. G. Bord, D. F. Kranchev, “Linear stability of a system of Gauss vortices”, Sib. Zh. Ind. Mat., 8:3 (2005), 8–17; J. Appl. Industr. Math., 1:2 (2007), 152–159
Citation in format AMSBIB
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\by I.~G.~Bord, D.~F.~Kranchev
\paper Linear stability of a system of Gauss vortices
\jour Sib. Zh. Ind. Mat.
\yr 2005
\vol 8
\issue 3
\pages 8--17
\mathnet{http://mi.mathnet.ru/sjim284}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2220172}
\zmath{https://zbmath.org/?q=an:1099.76021}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 2
\pages 152--159
\crossref{https://doi.org/10.1134/S1990478907020044}
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    		Сибирский журнал индустриальной математики
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