= Kármán-Howarth equation
{c}
{title2=$\partial_tC=r^{-2}\partial_r[r^{-1}\partial_r(r^4u^3K)]+2\nu r^{-2}\partial_r(r^2C\prime)$}
The <Kármán-Howarth equation> evolves two-point correlations in homogeneous <isotropic turbulence>. In trace form it is $\partial_tC=r^{-2}\partial_r[r^{-1}\partial_r(r^4u^3K)]+2\nu r^{-2}\partial_r(r^2C\prime)$. Integrating with radial volume weight reduces conservation of the <Saffman integral> to vanishing nonlinear and viscous boundary fluxes.
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