15 citations · 63 across the 14 of their papers we have counts for
14 papers
Linear instability of plane Couette and Poiseuille flows
Sergey G. Chefranov, Alexander G. Chefranov
It is shown that linear instability of plane Couette flow can take place even at finite Reynolds numbers which meets with known experimental data. This new result of the linear the…
Revision of the linear stability paradox for known bounded shear flows
Sergey G. Chefranov, Alexander G. Chefranov
The well-known paradox of linear stability for the some bounded shear flows is not solved up to now and is bypassed on the basis of the non-linear mechanisms consideration. We prov…
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…
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…