15 citations · 19 across the 3 of their papers we have counts for
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Investigating the dynamics of point helical vortices on a rotating sphere to model tropical cyclones
Sergey G. Cherfanov, Igor I. Mokhov, Alexander G. Chefranov
A general exact weak solution to the nonlinear equation of the conservation of the absolute vorticity in a thin layer of an incompressible medium on a rotating sphere is proposed.…
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…
The hydrodynamic singular vortex on the sphere and the Dirac monopole
Sergey G. Chefranov, Igor I. Mokhov, Alexander G. Chefranov
An exact correspondence is established between mathematical description of the single "elementary vortex" (EV)velocity on the sphere (Zermelo,1902;Bogomolov,1977) and the Dirac mag…
Interaction between global-scale atmospheric vortices: Modeling with Hamiltonian dynamic system of antipodal point vortices on a rotating sphere
Igor I. Mokhov, S. G. Chefranov, A. G. Chefranov
We get point vortices dynamics equations on a rotating sphere surface directly from the hydrodynamic equations as representing their weak exact solution contrary to the conventiona…
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…