Offsprings of a point vortex

Abstract

The distribution engendered by successive splitting of one point vortex are considered. The process of splitting a vortex in three using a reverse three-point vortex collapse course is analysed in great details and shown to be dissipative. A simple process of successive splitting is then defined and the resulting vorticity distribution and vortex populations are analysed.

References in corpus (5)

• X-point collapse and saturation in the nonlinear tearing mode reconnection
• Kinetic theory of point vortices in two dimensions: analytical results and numerical simulations
• Lagrangian Dynamics in High-Dimensional Point-Vortex Systems
• Motion of Three Vortices near Collapse
• The asymptotic quasi-stationary states of the two-dimensional magnetically confined plasma and of the planetary atmosphere

Cited by in corpus (3)

• Burst of Point Vortices and Non-Uniqueness of 2D Euler Equations
• Functional integral derivation of the kinetic equation of two-dimensional point vortices
• Stochastic stability of invariant measures: The 2D Euler equation