2021/05/01 by Guido Cavallaro, Carlo Marchioro
Engineering · Mathematics · Physics and Astronomy · #Burgers vortex #Classical mechanics #Compressibility #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Geometry #Mathematical physics #Mathematics #Mechanics #Navier-Stokes equation solutions #Physics #Power law #RADIUS #Symmetry (geometry) #Vortex #Vortex ring #Vortex stretching #Vorticity #Vorticity equation #math-ph #math.AP #math.MP #msc:37N10 #msc:76B47
paper · pdf · doi:10.1063/5.0022358
published as Journal of Mathematical Physics 62, 053102 (2021)
openalex publication_date 2021/05/01 · arxiv created 2021/05/04 · arxiv updated 2021/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the time evolution of an incompressible fluid with an axial symmetry without swirl when the vorticity is sharply concentrated on N annuli of radii ≈r0 and thickness ɛ. We prove that when r0 = |log ɛ|α, α > 2, the vorticity field of the fluid converges as ɛ → 0 to the point-vortex model, at least for a small but positive time. This result generalizes a previous paper that assumed a power law for the relation between r0 and ɛ.