The dynamics of enstrophy transfer in two-dimensional hydrodynamics

Abstract

In this paper the qualitative properties of an inviscid, incompressible, two-dimensional fluid are examined. Starting from the equations of motion we derive a series of equations that govern the behavior of the spatial gradients of the vorticity scalar. The growth of these gradients is related to the transfer of enstrophy (integral of squared vorticity) to the small scales of the fluid motion.