2012/12/07 by Igor I. Mokhov, И. И. Мохов, Sergey G. Chefranov +5
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid dynamics and aerodynamics studies #Geophysics and Gravity Measurements #Solar and Space Plasma Dynamics #physics.ao-ph #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1212.1550
20 pages, 3 figures, 2 tables, 5 appendices
arxiv created 2012/12/07 · openalex publication_date 2012/12/07 · arxiv updated 2012/12/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
It is shown for the first time that only an antipodal vortex pair (APV) is the elementary singular vortex object on the sphere compatible with the hydrodynamic equations. The exact weak solution of the absolute vorticity equation on the rotating sphere is obtained in the form of Hamiltonian dynamic system for interacting APVs. This is the first model describing interaction of Barrett vortices corresponding to atmospheric centers of action (ACA). In particular, new steady-state conditions for N=2 are obtained. These analytical conditions are used for the analysis of coupled cyclone-anticyclone ACAs over oceans in the Northern Hemisphere.