Geodesic
Problems of stability and asymptotic behavior of vortex patches on the plane
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 327-343

Voir la notice de l'article provenant de la source Math-Net.Ru

With the help of mathematical modelling, we study the dynamics of many point vortices system on the plane. For this system, we consider the following cases: – vortex rings with outer radius $r=1$ and variable inner radius $r_0$, – vortex ellipses with semiaxes $a$, $b$. The emphasis is on the analysis of the asymptotic ($t\to\infty$) behavior of the system and on the verification of the stability criteria for vorticity continuous distributions.
Keywords: vortex dynamics, hydrodynamics, asymptotic behavior.
Mots-clés : point vortex 
@article{ND_2010_6_2_a6,
     author = {V. V. Vaskin and A. V. Vaskina and I. S. Mamaev},
     title = {Problems of stability and asymptotic behavior of vortex patches on the plane},
     journal = {Russian journal of nonlinear dynamics},
     pages = {327--343},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2010_6_2_a6/}
}
TY  - JOUR
AU  - V. V. Vaskin
AU  - A. V. Vaskina
AU  - I. S. Mamaev
TI  - Problems of stability and asymptotic behavior of vortex patches on the plane
JO  - Russian journal of nonlinear dynamics
PY  - 2010
SP  - 327
EP  - 343
VL  - 6
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2010_6_2_a6/
LA  - ru
ID  - ND_2010_6_2_a6
ER  - 
%0 Journal Article
%A V. V. Vaskin
%A A. V. Vaskina
%A I. S. Mamaev
%T Problems of stability and asymptotic behavior of vortex patches on the plane
%J Russian journal of nonlinear dynamics
%D 2010
%P 327-343
%V 6
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2010_6_2_a6/
%G ru
%F ND_2010_6_2_a6
V. V. Vaskin; A. V. Vaskina; I. S. Mamaev. Problems of stability and asymptotic behavior of vortex patches on the plane. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 327-343. http://geodesic.mathdoc.fr/item/ND_2010_6_2_a6/