2016/04/13 by Jiten C. Kalita, Sougata Biswas, Kalita, Jiten C. +3
Engineering · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1604.03727
5 pages, 1 figure
arxiv created 2016/04/13 · openalex publication_date 2016/04/13 · arxiv updated 2016/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we provide two novel approaches to show that incompressible fluid flow in a finite domain contains at most a finite number vortices. We use a recently developed geometric theory of incompressible viscous flows along with an existing mathematical analysis concept to establish the finiteness. We also offer a second proof of finiteness by roping in the Kolmogorov's length scale criterion in conjunction with the notion of diametric disks.