Equilibrium configurations of point vortices in doubly connected domains
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.
Affiliations des auteurs :
Alan R. Elcrat 1 ; Chenglie Hu 1 ; Kenneth G. Miller 1
@article{EP_1996_1_a22,
author = {Alan R. Elcrat and Chenglie Hu and Kenneth G. Miller},
title = {Equilibrium configurations of point vortices in doubly connected domains},
journal = {ESAIM. Proceedings},
pages = {325--337},
year = {1996},
volume = {1},
doi = {10.1051/proc:1996008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1996008/}
}
TY - JOUR AU - Alan R. Elcrat AU - Chenglie Hu AU - Kenneth G. Miller TI - Equilibrium configurations of point vortices in doubly connected domains JO - ESAIM. Proceedings PY - 1996 SP - 325 EP - 337 VL - 1 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc:1996008/ DO - 10.1051/proc:1996008 LA - en ID - EP_1996_1_a22 ER -
%0 Journal Article %A Alan R. Elcrat %A Chenglie Hu %A Kenneth G. Miller %T Equilibrium configurations of point vortices in doubly connected domains %J ESAIM. Proceedings %D 1996 %P 325-337 %V 1 %U http://geodesic.mathdoc.fr/articles/10.1051/proc:1996008/ %R 10.1051/proc:1996008 %G en %F EP_1996_1_a22
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
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