2022/12/01 by Paolo Buttà, Guido Cavallaro, Carlo Marchioro · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Burgers vortex #Classical mechanics #Disjoint sets #Fluid Dynamics and Turbulent Flows #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Navier-Stokes equation solutions #Physics #Quantum mechanics #Symmetry (geometry) #Viscosity #Vortex #Vortex ring #Vorticity #Vorticity equation #Zero (linguistics)
paper · doi:10.1063/5.0124516
openalex publication_date 2022/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/24
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.