Guido Cavallaro - Concentrated vortex rings for Euler and Navier-Stokes equations - Archive ouverte HAL
Vidéo Année : 2023

Guido Cavallaro - Concentrated vortex rings for Euler and Navier-Stokes equations

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Résumé

We study the time evolution of an incompressible fluid (both inviscid and viscous) with axial symmetry without swirl, when the initial vorticity is very concentrated in N disjoint rings. We show that in a suitable limit, in which the thickness of the rings (and the viscosity, in the viscous case) tends to zero, the vorticity remains concentrated in N disjointed rings, each one of them performing a simple translation along the symmetry axis with constant speed.

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hal-04712410 , version 1 (27-09-2024)

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  • HAL Id : hal-04712410 , version 1

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Guido Cavallaro, Fanny Bastien. Guido Cavallaro - Concentrated vortex rings for Euler and Navier-Stokes equations. 2023. ⟨hal-04712410⟩
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