Geodesic
Method of discrete vortices in statistical vortex dynamics as a~paradigm of computer methods of analysis
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2010), pp. 146-155

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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 $a$, $b$.
Keywords: vortex dynamics, hydrodynamics, asymptotic behavior.
Mots-clés : point vortex 
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     title = {Method of discrete vortices in statistical vortex dynamics as a~paradigm of computer methods of analysis},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {146--155},
     publisher = {mathdoc},
     number = {1},
     year = {2010},
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     url = {http://geodesic.mathdoc.fr/item/VUU_2010_1_a12/}
}
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I. S. Mamaev. Method of discrete vortices in statistical vortex dynamics as a~paradigm of computer methods of analysis. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2010), pp. 146-155. http://geodesic.mathdoc.fr/item/VUU_2010_1_a12/