@article{Flandoli2022, 
author = {Franco Flandoli and Eliseo Luongo},
title = {Heat diffusion in a channel under white noise modeling of turbulence},
year = {2022},
journal = {Mathematics in Engineering},
volume = {4},
number = {4},
pages = {1-21},
keywords = {turbulence, eddy diffusion, vortex patch, transport noise, Dirichlet boundary condition},
url = {https://www.sciopen.com/article/10.3934/mine.2022034},
doi = {10.3934/mine.2022034},
abstract = {A passive scalar equation for the heat diffusion and transport in an infinite channel is studied. The velocity field is white noise in time, modelling phenomenologically a turbulent fluid. Under the driving effect of a heat source, the phenomenon of eddy dissipation is investigated: the solution is close, in a weak sense, to the stationary deterministic solution of the heat equation with augmented diffusion coefficients.}
}