Turbulent vortex wake: Classification principles, gauge equivalence, examples, and applications

Abstract

The paper proposes a system of second-order ordinary differential equations with solutions interpreted as trajectories of a turbulent vortex wake. The trajectories are modeled by complexes of geodesic lines in non-Euclidean geometries and are analyzed to select a proper geometry by choosing a particular gauge for modeling the whole class of turbulent vortex wake trajectories. Examples are given of geodesic and partially geodesic gauges to model a particular complex of linear vortex wake trajectories, and possible ways are suggested to apply the theory to turbulence mesodynamics in cosmic plasma.