Thin vortex tubes in the stationary Euler equation
[Tubes de vorticité étroits dans l’équation d’Euler stationnaire]
Journées équations aux dérivées partielles (2013), article no. 4, 13 p.

On expose quelques nouveaux résultats sur l’existence de solutions stationnaires à l’équation d’Euler sur 3 avec un ensemble de tubes de vorticité étroits (qui peuvent être noués et entrelacés) qu’on peut prescrire a priori.

In this paper we outline some recent results concerning the existence of steady solutions to the Euler equation in 3 with a prescribed set of (possibly knotted and linked) thin vortex tubes.

DOI : 10.5802/jedp.100
Enciso, Alberto 1 ; Peralta-Salas, Daniel 1

1 Instituto de Ciencias Matemáticas Consejo Superior de Investigaciones Científicas 28049 Madrid, Spain
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Enciso, Alberto; Peralta-Salas, Daniel. Thin vortex tubes in the stationary Euler equation. Journées équations aux dérivées partielles (2013), article  no. 4, 13 p. doi : 10.5802/jedp.100. http://www.numdam.org/articles/10.5802/jedp.100/

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