Two-dimensional enstrophy cascade
= Two-dimensional enstrophy cascade
{title2=$E(k)\propto k^{-3}$}
A two-dimensional forward <two-dimensional enstrophy cascade> has the idealized spectrum $E(k)\propto k^{-3}$. The energy integral above a wavenumber scales as its inverse square, whereas the cumulative <enstrophy> integral $\int k^2E(k)\,dk$ grows logarithmically. The spectrum used here omits possible further logarithmic corrections.