Geodesic
Equilibrium configurations of point vortices in doubly connected domains
Alan R. Elcrat1 ; Chenglie Hu1 ; Kenneth G. Miller1
1 Wichita State University Wichita, KS 67260-0033, USA
ESAIM. Proceedings, Tome 1 (1996), pp. 325-337.

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Point vortex flows of a steady, two dimensional, inviscid, and incompressible fluid are studied for doubly connected geometries. The Routh function is explicitly constructed, and equilibrium configurations of vortices are found by determining critical points numerically. The numerical computations make use of an analogue of the Schwarz-Christoffel transformation for doubly connected regions.
DOI : 10.1051/proc:1996008

Alan R. Elcrat 1 ; Chenglie Hu 1 ; Kenneth G. Miller 1

1 Wichita State University Wichita, KS 67260-0033, USA 
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Alan R. Elcrat; Chenglie Hu; Kenneth G. Miller. Equilibrium configurations of point vortices in doubly connected domains. ESAIM. Proceedings, Tome 1 (1996), pp. 325-337. doi : 10.1051/proc:1996008. http://geodesic.mathdoc.fr/articles/10.1051/proc:1996008/

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