Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence

Milton C. Lopes Filho, Anna L. Mazzucato, Helena J. Nussenzveig Lopes

Enstrophy, half the integral of the square of vorticity, plays a role in 2D turbulence theory analogous to that played by kinetic energy in the Kolmogorov theory of 3D turbulence.…