Long-time Confinement near Special Vortex Crystals
Résumé
In this paper, we control the growth of the support of particular solutions to the Euler twodimensional equations, whose vorticity is concentrated near special vortex crystals. These vortex crystals belong to the classical family of regular polygons with a central vortex, where we choose a particular intensity for the central vortex to have strong stability properties. A special case is the regular pentagon with no central vortex which also satisfies the stability properties required for the long-time confinement to work.
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