On the Littlewood--Paley spectrum for passive scalar transport equations
arXiv:1811.03327 · doi:10.1007/s00332-019-09585-w
Abstract
We derive time-averaged estimates on Littlewood--Paley decompositions for linear advection-diffusion equations. For wave numbers close to the dissipative cut-off, these estimates are consistent with Batchelor's predictions on the variance spectrum in passive scalar turbulent mixing.