Physics

Biography

Biography: Vasily Yu Belashov

Abstract

Interaction of vortices is very complicated and diverse and depends on a lot of conditions, such as initial configuration of
a system, parity of the sizes, degree of symmetry and vorticity of vortical formations etc., as we have shown earlier in our
numerical modeling on a level with the quasi-recurrence phenomenon, at pair interaction of vortices nontrivial situations can be
observed when interaction can result to formation of complex forms of vorticity regions, such as the vorticity filaments and sheets
and can end to formation of complex turbulent field. Prediction of the result of interaction is an important problem in physics of
fluids and plasma including applications to dynamics of vortex structures in the atmosphere, hydrosphere and a plasma, namely:
evolution of the cyclonic type synoptic and ocean vortices which can be considered as a vorticity front and interactions in the
vortex dust particles system and also dynamics of charged filaments which represent streams of charged particles in a uniform
magnetic field. To study behavior of vortical system near critical point dividing the possible regimes of pair interaction of vortices,
we introduce the criterion of stability which represents a combination of critical parameters of the interaction. Using this criterion
we can give theoretical explanation of the result of pair interaction in the system of vortices including 2D and 3D vortical systems.
Our approach can be effective in studying of the atmospheric and plasma vortex dynamics and useful for the interpretation of
effects associated with turbulent processes in fluids and plasmas.