We study the time evolution of a viscous incompressible fluid with axial symmetry without swirl when the initial vorticity is very concentrated in N disjoint rings. We show that in a suitable joint limit, in which both the thickness of the rings and the viscosity tend 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.
Vanishing viscosity limit for concentrated vortex rings / Butta', Paolo; Cavallaro, Guido; Marchioro, Carlo. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 63:12(2022). [10.1063/5.0124516]
Vanishing viscosity limit for concentrated vortex rings
Paolo Butta';Guido Cavallaro
;Carlo Marchioro
2022
Abstract
We study the time evolution of a viscous incompressible fluid with axial symmetry without swirl when the initial vorticity is very concentrated in N disjoint rings. We show that in a suitable joint limit, in which both the thickness of the rings and the viscosity tend 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.| File | Dimensione | Formato | |
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