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arXiv · 1811.03327

On the Littlewood--Paley spectrum for passive scalar transport equations

Christian Seis
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Abstract

We derive time-averaged $L^1$ 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.

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Christian Seis. 2019-07-15. On the Littlewood--Paley spectrum for passive scalar transport equations. https://doi.org/10.1007/s00332-019-09585-w

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