On the Littlewood--Paley spectrum for passive scalar transport equations
Analysis of PDEs
2019-10-23 v2
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.
Keywords
Cite
@article{arxiv.1811.03327,
title = {On the Littlewood--Paley spectrum for passive scalar transport equations},
author = {Christian Seis},
journal= {arXiv preprint arXiv:1811.03327},
year = {2019}
}