On the Batchelor spectrum of passive scalar turbulent mixing
Seis, Christian
arXiv, 1811.03327 / Harvested from arXiv
Text on arXiv
We derive time-averaged $L^1$ estimates on Littlewood--Paley decompositions for linear advection-diffusion equations. These estimates indicate an $k^{-1}$ bound for the variance spectrum, which is consistent with Batchelor's scaling theory in passive scalar mixing.
Publié le : 2018-11-08
Classification:  Mathematics - Analysis of PDEs 
@article{1811.03327,
     author = {Seis, Christian},
     title = {On the Batchelor spectrum of passive scalar turbulent mixing},
     journal = {arXiv},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1811.03327}
}

Seis, Christian. On the Batchelor spectrum of passive scalar turbulent mixing. arXiv, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/1811.03327/