15 citations · 17 across the 4 of their papers we have counts for
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Point vortices dynamics on a rotating sphere and modeling of global atmospheric vortices interaction
Igor I. Mokhov, Sergey G. Chefranov, Alexander G. Chefranov
It is shown that the hydrodynamics equations for a thin spherical liquid layer are satisfied by the stream function of a pair of antipodal vortices-APV, in contrast to the stream f…
Dissipative-centrifugal instability of the Burgers vortex core and cyclone-anticyclone vortex asymmetry
Sergey G. Chefranov, Alexander G. Chefranov
A new exact solution of the hydrodynamic equations is obtained in the form of the Burgers vortex generalization (BVG)accounting for the medium rotation as a whole and linear unifor…
Interaction of Global-Scale Atmospheric Vortices: Modeling Based on Hamiltonian System for Antipodal Vortices on Rotating Sphere
Igor I. Mokhov, Sergey G. Chefranov, Alexander G. Chefranov
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…